In this manuscript,we discuss the dynamical behavior of Chen-Lee-Liu(CLL)equation in birefringent fibers which is modeled by two-component nonlinear Schrodinger equation(NLSE)without four-wave mixing effect.In optical...In this manuscript,we discuss the dynamical behavior of Chen-Lee-Liu(CLL)equation in birefringent fibers which is modeled by two-component nonlinear Schrodinger equation(NLSE)without four-wave mixing effect.In optical fibers and other wave-guide mediums this system models the propagation of soliton flow using group velocity dispersion(GVD)and self-steeping coefficients.In the realms of maritime transport,motion,and energy,the dynamics of deep-sea waves is one of oceanography’s greatest challenges.A mathematical model of the dynamics of solitary waves in the deep ocean under a twolayer stratification yields the NLSE,and resultantly,the interaction between the two can be described by a coupled NLSE.Using two recently developed integration tools,namely the generalized exponential rational function method(GERFM)and the new extended direct algebraic method(NEDAM),the various optical pulses in the forms of bright,dark,combined,and complex solitons are extracted.Moreover,the hyperbolic,exponential,and trigonometric function solutions are recovered.In addition,a comparison is made between our results and those that are well-known,and the study concludes that the solutions we’ve reached are novel.By choosing appropriate parameter values for numerical simulation and physical explanations,the significance of the results is demonstrated.The results of this paper can enhance the nonlinear dynamical behavior of a given system and demonstrate the suitability of the methodology em-ployed.This research,in our opinion,will be beneficial to a wide variety of engineering model specialists.展开更多
This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal variables.The governing equation is...This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal variables.The governing equation is stretch for the Korteweg-de-Vries equation that represents the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in a channel,especially for shallow water.Solitary wave solutions of various types,such as kink and shock,as well as singleton,combined solitons,and complex solitons,are all retrieved.Additionally,solutions to hyperbolic,exponential,and trigonometric functions are obtained through the use of recently developed methods,namely the Kudryashov method(KM),the modified Kudryashov method(MKM),and the new extended direct algebraic method(NEDAM).The study conducts a comparison of our findings to well-known findings,and concludes that the solutions reached here are novel.Additionally,the earned results are sketched in different shapes to demonstrate their dynamics as a function of parameter selection.We can assert from the obtained results that the applied techniques are simple,vibrant,and quite well,and will be helpful tool for addressing more highly nonlinear issues in various of fields,especially in ocean and coastal engineering.Furthermore,our findings are first step toward understanding the structure and physical behavior of complicated structures.We anticipate that our results will be highly valuable in bet-ter understanding the waves that occur in the ocean.We feel that this work is timely and will be of interest to a wide spectrum of experts working on ocean engineering models.展开更多
基金the financial support provided for this research via the National Natural Science Foun-dation of China(52071298)。
文摘In this manuscript,we discuss the dynamical behavior of Chen-Lee-Liu(CLL)equation in birefringent fibers which is modeled by two-component nonlinear Schrodinger equation(NLSE)without four-wave mixing effect.In optical fibers and other wave-guide mediums this system models the propagation of soliton flow using group velocity dispersion(GVD)and self-steeping coefficients.In the realms of maritime transport,motion,and energy,the dynamics of deep-sea waves is one of oceanography’s greatest challenges.A mathematical model of the dynamics of solitary waves in the deep ocean under a twolayer stratification yields the NLSE,and resultantly,the interaction between the two can be described by a coupled NLSE.Using two recently developed integration tools,namely the generalized exponential rational function method(GERFM)and the new extended direct algebraic method(NEDAM),the various optical pulses in the forms of bright,dark,combined,and complex solitons are extracted.Moreover,the hyperbolic,exponential,and trigonometric function solutions are recovered.In addition,a comparison is made between our results and those that are well-known,and the study concludes that the solutions we’ve reached are novel.By choosing appropriate parameter values for numerical simulation and physical explanations,the significance of the results is demonstrated.The results of this paper can enhance the nonlinear dynamical behavior of a given system and demonstrate the suitability of the methodology em-ployed.This research,in our opinion,will be beneficial to a wide variety of engineering model specialists.
基金The authors would like to acknowledge the financial support provided for this research via Open Fund of State Key Laboratory of Power Grid Environmental Protection(No.GYW51202101374)the National Natural Science Foundation of China(52071298),Zhong Yuan Science and Technology Innovation Leadership Pro-gram(214200510010).
文摘This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal variables.The governing equation is stretch for the Korteweg-de-Vries equation that represents the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in a channel,especially for shallow water.Solitary wave solutions of various types,such as kink and shock,as well as singleton,combined solitons,and complex solitons,are all retrieved.Additionally,solutions to hyperbolic,exponential,and trigonometric functions are obtained through the use of recently developed methods,namely the Kudryashov method(KM),the modified Kudryashov method(MKM),and the new extended direct algebraic method(NEDAM).The study conducts a comparison of our findings to well-known findings,and concludes that the solutions reached here are novel.Additionally,the earned results are sketched in different shapes to demonstrate their dynamics as a function of parameter selection.We can assert from the obtained results that the applied techniques are simple,vibrant,and quite well,and will be helpful tool for addressing more highly nonlinear issues in various of fields,especially in ocean and coastal engineering.Furthermore,our findings are first step toward understanding the structure and physical behavior of complicated structures.We anticipate that our results will be highly valuable in bet-ter understanding the waves that occur in the ocean.We feel that this work is timely and will be of interest to a wide spectrum of experts working on ocean engineering models.
