期刊文献+
共找到30篇文章
< 1 2 >
每页显示 20 50 100
NONLINEAR WAVE TRANSITIONS AND THEIR MECHANISMS OF THE(2+1)-DIMENSIONAL KORTEWEG-DE VRIES-SAWADA-KOTERA-RAMANI EQUATION
1
作者 Haolin WANG Shoufu TIAN Tiantian ZHANG 《Acta Mathematica Scientia》 2025年第4期1405-1437,共33页
In this work,we study wave state transitions of the(2+1)-dimensional Kortewegde Vries-Sawada-Kotera-Ramani(2KdVSKR)equation by analyzing the characteristic line and phase shift.By converting the wave parameters of the... In this work,we study wave state transitions of the(2+1)-dimensional Kortewegde Vries-Sawada-Kotera-Ramani(2KdVSKR)equation by analyzing the characteristic line and phase shift.By converting the wave parameters of the N-soliton solution into complex numbers,the breath wave solution is constructed.The lump wave solution is derived through the long wave limit method.Then,by choosing appropriate parameter values,we acquire a number of transformed nonlinear waves whose gradient relation is discussed according to the ratio of the wave parameters.Furthermore,we reveal transition mechanisms of the waves by exploring the nonlinear superposition of the solitary and periodic wave components.Subsequently,locality,oscillation properties and evolutionary phenomenon of the transformed waves are presented.And we also prove the change in the geometrical properties of the characteristic lines leads to the phenomena of wave evolution.Finally,for higher-order waves,a range of interaction models are depicted along with their evolutionary phenomena.And we demonstrate that their diversity is due to the fact that the solitary and periodic wave components produce different phase shifts caused by time evolution and collisions. 展开更多
关键词 the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation characteristic line transformed nonlinear waves phase shift collision
在线阅读 下载PDF
Nonlinear Dispersion Effect on Wave Transformation 被引量:5
2
作者 李瑞杰 李东永 《China Ocean Engineering》 SCIE EI 2000年第3期375-384,共10页
A new nonlinear dispersion relation is given in this paper, which can overcome the limitation of the intermediate minimum value in the dispersion relation proposed by Kirby and Dalrymple (1986). and which has a better... A new nonlinear dispersion relation is given in this paper, which can overcome the limitation of the intermediate minimum value in the dispersion relation proposed by Kirby and Dalrymple (1986). and which has a better approximation to Hedges' empirical relation than the modified relations by Hedges (1987). Kirby and Dalrymple (1987) for shallow waters. The new dispersion relation is simple in form, thus it can be used easily in practice. Meanwhile, a general explicit approximation to the new dispersion and other and other nonlinear dispersion relations is given. By use of the explicit approximation to the new dispersion relation along with the mild slope equation taking into account weakly nonlinenr effect, a mathematical model is obtained, and it is applied to laboratory data. The results show that the model developed with the new dispersion relation predicts wave transformation over complicated topography quite well. 展开更多
关键词 nonlinear dispersion relation explicit approximation wave transformation mild slope equation
在线阅读 下载PDF
Nonlinear Dispersion Relation in Wave Transformation 被引量:6
3
作者 李瑞杰 严以新 曹宏生 《海洋工程:英文版》 2003年第1期117-122,共6页
A nonlinear dispersion relation is presented to model the nonlinear dispersion of waves over the whole range of possible water depths. It reduces the phase speed over prediction of both Hedges′ modified relation and... A nonlinear dispersion relation is presented to model the nonlinear dispersion of waves over the whole range of possible water depths. It reduces the phase speed over prediction of both Hedges′ modified relation and Kirby and Dalrymple′s modified relation in the region of 1< kh <1 5 for small wave steepness and maintains the monotonicity in phase speed variation for large wave steepness. And it has a simple form. By use of the new nonlinear dispersion relation along with the mild slope equation taking into account weak nonlinearity, a mathematical model of wave transformation is developed and applied to laboratory data. The results show that the model with the new dispersion relation can predict wave transformation over complicated bathymetry satisfactorily. 展开更多
关键词 nonlinear dispersion relation wave transformation mild slope equation numerical simulation
在线阅读 下载PDF
On Radiation Boundary Conditions and Wave Transformation Across the Surf Zone 被引量:2
4
作者 许泰文 温志中 《China Ocean Engineering》 SCIE EI 2001年第3期395-406,共12页
The purpose of this paper is to extend the validity of Li's parabolic model (1994) by incorporating a combined energy factor in the mild-slope equation and by improving the traditional radiation boundary condition... The purpose of this paper is to extend the validity of Li's parabolic model (1994) by incorporating a combined energy factor in the mild-slope equation and by improving the traditional radiation boundary conditions. With wave breaking and energy dissipation expressed in a direct form in the equation, the proposed model could provide an efficient numerical scheme and accurate predictions of wave transformation across the surf zone. The radiation boundary conditions are iterated in the model without use of approximations. The numerical predictions for wave height distributions across the surf zone are compared with experimental data over typical beach profiles. In addition, tests of waves scattering around a circular pile show that the proposed model could also provide reasonable improvement on the radiation boundary conditions for large incident angles of waves. 展开更多
关键词 radiation boundary condition wave transformation mild-slope equation surf zone
在线阅读 下载PDF
Modelling Wave Transmission and Overtopping Based on Energy Balance Equation 被引量:2
5
作者 JI Qiaoling DONG Sheng 《Journal of Ocean University of China》 SCIE CAS CSCD 2018年第5期1033-1043,共11页
Wave transmission and overtopping around nearshore breakwaters can have significant influence on the transmitted wave parameters,which affects wave conditions and sediment transportation and becomes the focus of desig... Wave transmission and overtopping around nearshore breakwaters can have significant influence on the transmitted wave parameters,which affects wave conditions and sediment transportation and becomes the focus of design in engineering.The objective of this paper is to present a simplified model to estimate these important wave parameters.This paper describes the incorporation of wave transmission and overtopping module into a wave model for multi-directional random wave transformation based on energy balance equation with the consideration of wave shoaling,refraction,diffraction,reflection and breaking.Wen's frequency spectrum and non-linear dispersion relation are also included in this model.The influence of wave parameters of transmitted waves through a smooth submerged breakwater has been considered in this model with an improved description of the transmitted wave spectrum of van der Meer et al.(2000) by Carevic et al.(2013).This improved wave model has been validated through available laboratory experiments.Then the verified model is applied to investigate the effect of wave transmission and overtopping on wave heights behind low-crested breakwaters in a project for nearshore area.Numerical calculations are carried out with and without consideration of the wave transmission and overtopping,and comparison of them indicates that there is a considerable difference in wave height and thus it is important to include wave transmission and overtopping in modelling nearshore wave field with the presence of low-crested breakwaters.Therefore,this model can provide a general estimate of the desired wave field parameters,which is adequate for engineers at the preliminary design stage of low-crested breakwaters. 展开更多
关键词 random wave transformation energy balance equation numerical modelling Wen's spectrum DIFFRACTION transmission OVERTOPPING
在线阅读 下载PDF
Mathematical model of wave transformation over radial sand ridge field on continental shelf of South Yellow Sea 被引量:2
6
作者 Yao-zhong YANG Wei-bing FENG 《Water Science and Engineering》 EI CAS 2010年第1期36-46,共11页
According to a deformed mild-slope equation derived by Guang-wen Hong and an enhanced numerical method, a wave refraction-diffraction nonlinear mathematical model that takes tidal level change and the high-order bathy... According to a deformed mild-slope equation derived by Guang-wen Hong and an enhanced numerical method, a wave refraction-diffraction nonlinear mathematical model that takes tidal level change and the high-order bathymetry factor into account has been developed. The deformed mild-slope equation is used to eliminate the restriction of wave length on calculation steps. Using the hard disk to record data during the calculation process, the enhanced numerical method can save computer memory space to a certain extent, so that a large-scale sea area can be calculated with high-resolution grids. This model was applied to wave field integral calculation over a radial sand ridge field in the South Yellow Sea. The results demonstrate some features of the wave field: (1) the wave-height contour lines are arc-shaped near the shore; (2) waves break many times when they propagate toward the shore; (3) wave field characteristics on the northern and southern sides of Huangshayang are different; and (4) the characteristics of wave distribution match the terrain features. The application of this model in the region of the radial sand ridge field suggests that it is a feasible way to analyze wave refraction-diffraction effects under natural sea conditions. 展开更多
关键词 wave transformation mathematical model radial sand ridge field South Yellow Sea
在线阅读 下载PDF
A whole-space transform formula of cylindrical wave functions for scattering problems
7
作者 Yuan Xiaoming 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2014年第1期23-28,共6页
The theory of elastic wave scattering is a fundamental concept in the study of elastic dynamics and wave motion,and the wave function expansion technique has been widely used in many subjects.To supply the essential t... The theory of elastic wave scattering is a fundamental concept in the study of elastic dynamics and wave motion,and the wave function expansion technique has been widely used in many subjects.To supply the essential tools for solving wave scattering problems induced by an eccentric source or multi-sources as well as multi-scatters,a whole-space transform formula of cylindrical wave functions is presented and its applicability to some simple cases is demonstrated in this study.The transforms of wave functions in cylindrical coordinates can be classifi ed into two basic types: interior transform and exterior transform,and the existing Graf’s addition theorem is only suitable for the former.By performing a new replacement between the two coordinates,the exterior transform formula is fi rst deduced.It is then combined with Graf’s addition theorem to establish a whole-space transform formula.By using the whole-space transform formula,the scattering solutions by the sources outside and inside a cylindrical cavity are constructed as examples of its application.The effectiveness and advantages of the whole-space transform formula is illustrated by comparison with the approximate model based on a large cycle method.The whole-space transform formula presented herein can be used to perform the transform between two different cylindrical coordinates in the whole space.In addition,its concept and principle are universal and can be further extended to establish the coordinate transform formula of wave functions in other coordinate systems. 展开更多
关键词 scattering transform of wave functions whole-space transform eccentric source multi-sources multi-scatters
在线阅读 下载PDF
Transformation and Breaking of Irregular Waves on Very Gentle Slopes
8
作者 李玉成 崔丽芳 +3 位作者 于洋 董国海 高家俊 庄士贤 《China Ocean Engineering》 SCIE EI 2000年第3期261-278,共18页
Based on theoretical analysis, numerical calculation, and experimental study. this paper discusses breaker indices of irregular waves, transformation of wave spectrum, characteristics and computation of breaking waves... Based on theoretical analysis, numerical calculation, and experimental study. this paper discusses breaker indices of irregular waves, transformation of wave spectrum, characteristics and computation of breaking waves, as well as the critical beach slope under which waves will not break. Computed results are in good agreement with laboratory physical model test data and ocean wave field measurements. 展开更多
关键词 wave spectrum beach slope wave transformation wave breaking breaker indices
在线阅读 下载PDF
Modeling waves and longshore transport potential in Half Moon Bay,Grays Harbor,Washington,USA
9
作者 PHILIP D Osborne 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2008年第z1期46-59,共14页
A local-scale phase-resolving wave transformation model with CGWAVE is established in connection with a regional-scale coupled STWAVE-ADCIRC wave-current model for its application in the Half Moon Bay, Grays Harbor.Wa... A local-scale phase-resolving wave transformation model with CGWAVE is established in connection with a regional-scale coupled STWAVE-ADCIRC wave-current model for its application in the Half Moon Bay, Grays Harbor.Wave transformation from offshore to the harbor entrance is simulated by the STWAVE model which includes wave-current interaction.The STWAVE results provide incident wave conditions for the local-scale CGWAVE model at its outer boundary. A simple method is developed to take into account the lateral variation of wave height in constructing the model’s wave boundary conditions.The model was validated for three wave condition cases which yielded good agreement with field data.The validated model was applied to predicting nearshore waves in the Half Moon Bay and longshore transport parameters along the wave breaking line for the existing condition and three engineering alternatives. A comparative analysis indicated that storm waves that have a combination of long period and large height are the most destructive to the crenulate shoreline in the Half Moon Bay; both 152 m jetty extension (Alt. 2) and diffraction mound enlargement (Alt. 3) would significantly reduce breaking wave height and longshore transport potential in the southwest corner of Half Moon Bay. 展开更多
关键词 wave transformation model CGwave longshore transport crenulate shoreline
在线阅读 下载PDF
Nonlinear Analysis of Nearshore Wave Height Variation Due to Shoaling
10
作者 Shen Xianrong Engineer, Zhejiang Provincial Design Institute of Communications, Hangzhou 310006 《China Ocean Engineering》 SCIE EI 1995年第4期419-434,共16页
Wave formulae derived from the dispersion relation for cnoidal waves are used to find an analytical solution to the problem of nearshore wave height variation on a simple topography, i. e., with an incrementally const... Wave formulae derived from the dispersion relation for cnoidal waves are used to find an analytical solution to the problem of nearshore wave height variation on a simple topography, i. e., with an incrementally constant slope. The solution accounts for shoaling, frictional dissipation and will be sufficiently accurate for practical purposes considering the simplified assumptions which are necessary for the treatment of this problem by any method. 展开更多
关键词 nearshore wave nonlinear analysis bed friction wave transformation
在线阅读 下载PDF
Application of VOF in Calculating Wave Energy Loss due to Spilling Breaker
11
《China Ocean Engineering》 SCIE EI 1995年第1期101-106,共6页
A large amount of experimental analysis and systematical theoretical calculation has been done by the authors to solve the problem of wave transformation and breaking, considering the effect of both current and topogr... A large amount of experimental analysis and systematical theoretical calculation has been done by the authors to solve the problem of wave transformation and breaking, considering the effect of both current and topography, but only the wave energy loss due to spilling breaker in the surf zone has been discussed in this paper. Based on test result analysis and calculation with the Stream Function Wave Theory, the wave velocity field at breaking points has been obtained, and it is used to calculate the wave heights after breaking by the VOF (Volume of Fluid) method, in which the governing equations are continuity equation and Navier-Stokes Equation for imcompressible fluids. In the present paper, the improved VOF technique is used to calculate the wave heights of stable regular waves after breaking. Results fit the test data well, which shows that the VOF method is suitable to numerical simulation of regular waves after breaking. Besides, the breaker coefficient B of regular waves in the bore model is also calculated. 展开更多
关键词 wave transformation wave breaking wave energy
在线阅读 下载PDF
Content-based image hashing using wave atoms
12
作者 刘芳 梁瀚贤 +1 位作者 郑利明 季晓勇 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第4期38-48,共11页
It is well known that robustness, fragility, and security are three important criteria of image hashing; however how to build a system that can strongly meet these three criteria is still a challenge. In this paper, a... It is well known that robustness, fragility, and security are three important criteria of image hashing; however how to build a system that can strongly meet these three criteria is still a challenge. In this paper, a content-based image hashing scheme using wave atoms is proposed, which satisfies the above criteria. Compared with traditional transforms like wavelet transform and discrete cosine transform (DCT), wave atom transform is adopted for the sparser expansion and better characteristics of texture feature extraction which shows better performance in both robustness and fragility. In addition, multi-frequency detection is presented to provide an application-defined trade-off. To ensure the security of the proposed approach and its resistance to a chosen-plaintext attack, a randomized pixel modulation based on the Rdnyi chaotic map is employed, combining with the nonliner wave atom transform. The experimental results reveal that the proposed scheme is robust against content-preserving manipulations and has a good discriminative capability to malicions tampering. 展开更多
关键词 image hashing AUTHENTICATION wave atom transform chaotic system
原文传递
The wave transformation and breaking phenomena in shallow water
13
作者 Li Yucheng(Dalian University of Technology, Dalian 116023, China) 《Acta Oceanologica Sinica》 SCIE CAS CSCD 1996年第2期261-272,共12页
Based on the principle of wave action flux conservation, the following problems are analyzed in the present study:the transformation of wave and wave spectrum in currents, the change of current velocity profile alongs... Based on the principle of wave action flux conservation, the following problems are analyzed in the present study:the transformation of wave and wave spectrum in currents, the change of current velocity profile alongside water depth due to the existence of waves, the breaking criteria of irregular waves, a new hybrid method for the analysis of wave transformation and breaking on slope, the VOF mehtod for calculating broken waves and the transformation of directional wave spectrum in currents. 展开更多
关键词 wave transformation wave breaking directional wave spectrum
在线阅读 下载PDF
Wave Height Transformation and Set-up Between A Submerged Permeable Breakwater and A Seawall
14
作者 蔡清标 余建弘 +1 位作者 陈鸿彬 陈信佑 《China Ocean Engineering》 SCIE EI 2012年第1期167-176,共10页
In this study, we investigated wave transformation and wave set-up between a submerged permeable breakwater and a seawall. Modified time-dependent mild-slope equations, which involve parameters of the porous medium, w... In this study, we investigated wave transformation and wave set-up between a submerged permeable breakwater and a seawall. Modified time-dependent mild-slope equations, which involve parameters of the porous medium, were used to calculate the wave height transformation and the mean water level change around a submerged breakwater. The numerical solution is verified with experimental data. The simulated results show that modulations of the wave profile and wave set-up are clearly observed between the submerged breakwater and the seawall. In contrast to cases without a seawall, the node or pseudo-node of wave height evolution can be found between the submerged breakwater and the seawall. Higher wave set-up occurs if the nodal or pseudo-nodal point appears near the submerged breakwater. We also examined the influence of the porosity and friction factor of the submerged permeable breakwater on wave transformation and set-up. 展开更多
关键词 wave height transformation water piling-up wave set-up submerged permeable breakwater' seawall time-dependent mild-slope equations
在线阅读 下载PDF
An analytical model for evaluating the dynamic response of a tunnel embedded in layered foundation soil with different saturations 被引量:5
15
作者 Di Honggui Guo Huiji +3 位作者 Zhou Shunhua Wang Binglong He Chao Zhang Xiaohui 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2022年第3期663-681,共19页
This paper proposes an analytical model for evaluating the dynamic response of an underground railway tunnel in layered foundation soil with different saturations.The soil is modeled as layered media,and the circular ... This paper proposes an analytical model for evaluating the dynamic response of an underground railway tunnel in layered foundation soil with different saturations.The soil is modeled as layered media,and the circular tunnel lining is modeled as an infinite Flügge cylindrical shell.The separation of variables method is used to solve the motion equation of the shell,and the wave equation of the soil is solved using the Helmholtz decomposition theorem.A dynamic matrix reflecting the wave vectors of soil layers is established using the transfer matrix method.Based on boundary conditions,the tunnel-soil model is coupled using the transformation method of plane wave functions and cylindrical wave functions.The proposed model is validated by comparison with existing tunnel models,and the effects of saturation and the layered properties of soil on the dynamic response of a layered tunnel-soil system is demonstrated via case studies. 展开更多
关键词 TUNNEL unsaturated soil SATURATION transfer matrix method wave function transformation
在线阅读 下载PDF
Intelligent Fusion of Infrared and Visible Image Data Based on Convolutional Sparse Representation and Improved Pulse-Coupled Neural Network 被引量:3
16
作者 Jingming Xia Yi Lu +1 位作者 Ling Tan Ping Jiang 《Computers, Materials & Continua》 SCIE EI 2021年第4期613-624,共12页
Multi-source information can be obtained through the fusion of infrared images and visible light images,which have the characteristics of complementary information.However,the existing acquisition methods of fusion im... Multi-source information can be obtained through the fusion of infrared images and visible light images,which have the characteristics of complementary information.However,the existing acquisition methods of fusion images have disadvantages such as blurred edges,low contrast,and loss of details.Based on convolution sparse representation and improved pulse-coupled neural network this paper proposes an image fusion algorithm that decompose the source images into high-frequency and low-frequency subbands by non-subsampled Shearlet Transform(NSST).Furthermore,the low-frequency subbands were fused by convolutional sparse representation(CSR),and the high-frequency subbands were fused by an improved pulse coupled neural network(IPCNN)algorithm,which can effectively solve the problem of difficulty in setting parameters of the traditional PCNN algorithm,improving the performance of sparse representation with details injection.The result reveals that the proposed method in this paper has more advantages than the existing mainstream fusion algorithms in terms of visual effects and objective indicators. 展开更多
关键词 Image fusion infrared image visible light image non-downsampling shear wave transform improved PCNN convolutional sparse representation
在线阅读 下载PDF
An Attention Based Neural Architecture for Arrhythmia Detection and Classification from ECG Signals 被引量:2
17
作者 Nimmala Mangathayaru Padmaja Rani +4 位作者 Vinjamuri Janaki Kalyanapu Srinivas B.Mathura Bai G.Sai Mohan BLalith Bharadwaj 《Computers, Materials & Continua》 SCIE EI 2021年第11期2425-2443,共19页
Arrhythmia is ubiquitous worldwide and cardiologists tend to provide solutions from the recent advancements in medicine.Detecting arrhythmia from ECG signals is considered a standard approach and hence,automating this... Arrhythmia is ubiquitous worldwide and cardiologists tend to provide solutions from the recent advancements in medicine.Detecting arrhythmia from ECG signals is considered a standard approach and hence,automating this process would aid the diagnosis by providing fast,costefficient,and accurate solutions at scale.This is executed by extracting the definite properties from the individual patterns collected from Electrocardiography(ECG)signals causing arrhythmia.In this era of applied intelligence,automated detection and diagnostic solutions are widely used for their spontaneous and robust solutions.In this research,our contributions are two-fold.Firstly,the Dual-Tree Complex Wavelet Transform(DT-CWT)method is implied to overhaul shift-invariance and aids signal reconstruction to extract significant features.Next,A neural attention mechanism is implied to capture temporal patterns from the extracted features of the ECG signal to discriminate distinct classes of arrhythmia and is trained end-to-end with the finest parameters.To ensure that the model’s generalizability,a set of five traintest variants are implied.The proposed model attains the highest accuracy of 98.5%for classifying 8 variants of arrhythmia on the MIT-BIH dataset.To test the resilience of the model,the unseen(test)samples are increased by 5x and the deviation in accuracy score and MSE was 0.12%and 0.1%respectively.Further,to assess the diagnostic model performance,AUC-ROC curves are plotted.At every test level,the proposed model is capable of generalizing new samples and leverages the advantage to develop a real-world application.As a note,this research is the first attempt to provide neural attention in arrhythmia classification using MIT-BIH ECG signals data with state-of-the-art performance. 展开更多
关键词 Arrhythmia classification arrhythmia detection MIT-BIH dataset dual-tree complex wave transform ECG classification neural attention neural networks deep learning
在线阅读 下载PDF
Analytical solution of ground-borne vibration due to a spatially periodic harmonic moving load in a tunnel embedded in layered soil 被引量:1
18
作者 Lihui XU Meng MA 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2023年第7期637-652,共16页
In this study,we propose a novel coupled periodic tunnel–soil analytical model for predicting ground-borne vibrations caused by vibration sources in tunnels.The problem of a multilayered soil overlying a semi-infinit... In this study,we propose a novel coupled periodic tunnel–soil analytical model for predicting ground-borne vibrations caused by vibration sources in tunnels.The problem of a multilayered soil overlying a semi-infinite half-space was solved using the transfer matrix method.To account for the interactions between the soil layer and tunnel structure,the transformation characteristics between cylindrical waves and plane waves were considered and used to convert the corresponding wave potentials into forms in terms of the Cartesian or cylindrical coordinate system.The induced ground-borne vibration was obtained analytically by applying a spatially periodic harmonic moving load to the tunnel invert.The accuracy and efficiency of the proposed model were verified by comparing the results under a moving constant and harmonic load with those from previous studies.Subsequently,the response characteristics under a spatially periodic harmonic moving load were identified,and the effects of a wide range of factors on the responses were systematically investigated.The numerical results showed that moving and Doppler effects can be caused by a spatially periodic harmonic moving load.The critical frequency and frequency bandwidth of the response are affected by the load type,frequency,velocity,and wavenumber in one periodicity length.Increasing the tunnel depth is an efficient way to reduce ground-borne vibrations.The effect of vibration amplification on the free surface should be considered to avoid excessive vibration levels that disturb residents. 展开更多
关键词 Coupled tunnel-soil model Spatially periodic load Transfer matrix method wave transformation Parametric analysis
原文传递
EXACT EXPLICIT SOLUTIONS OF THE NONLINEAR SCHRDINGER EQUATION COUPLED TO THE BOUSSINESQ EQUATION 被引量:1
19
作者 姚若侠 李志斌 《Acta Mathematica Scientia》 SCIE CSCD 2003年第4期453-460,共8页
A system comprised of the nonlinear Schrodinger equation coupled to the Boussinesq equation (S-B equations) which dealing with the stationary propagation of coupled non-linear upper-hybrid and magnetosonic waves in ma... A system comprised of the nonlinear Schrodinger equation coupled to the Boussinesq equation (S-B equations) which dealing with the stationary propagation of coupled non-linear upper-hybrid and magnetosonic waves in magnetized plasma is proposed. To examine its solitary wave solutions, a reduced set of ordinary differential equations are considered by a simple traveling wave transformation. It is then shown that several new solutions (either functional or parametrical) can be obtained systematically, in addition to rederiving all known ones by means of our simple and direct algebra method with the help of the computer algebra system Maple. 展开更多
关键词 Coupled Schrodinger-Boussinesq equations traveling wave transformation Riccati equations solitary wave solution
在线阅读 下载PDF
MARTENSITE TRANSFORMATION MICROSTRUCTURE OF 40Cr STEEL COMPLEXLY INDUCED BY LASER SHOCK 被引量:2
20
作者 CHEN Ruifang HUA Yinqun CAI Lan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第2期52-55,共4页
40Cr steel is laser quenched by the NEL-2500A rapidly axial flow CO2 laser. Then the martensite induced by laser quenched is shocked by Nd:YAG laser again. Through comparing and analyzing the appearance and size of m... 40Cr steel is laser quenched by the NEL-2500A rapidly axial flow CO2 laser. Then the martensite induced by laser quenched is shocked by Nd:YAG laser again. Through comparing and analyzing the appearance and size of martensite, the dislocation density in microstmcture between the treated zones by laser quenched and by laser quenched plus laser shock, the following results are shown: The second martensite obtained by laser compound treatment is more fmer compared with those obtained by laser quenched; In the hardened zones obtained by compound treatment, a lot of slender second twin crystal martensites are induced; A lot of more high density dislocation tangles and cellular dislocations are generated. From the transmission electron microscope (TEM) micrograph after compound treatment, there are not only long lath and short nubbly martensites arranged in cross direction, but also massive nubbly and small short nubbly martensites arranged in longitudinal direction. Some martensites look like the broken blocks of quenched martensites. These new martensites are inserted transversely in the quenched martensites with large tangle. And they make quenched martensites break into pieces. Compared with the quenched martensites, the size of fresh martensites are smaller, about 0.3-0.5 μm. 展开更多
关键词 Laser quench Laser shock wave Microstructure Martensite transformation
在线阅读 下载PDF
上一页 1 2 下一页 到第
使用帮助 返回顶部