期刊文献+

孤立子的matlab数值计算及模拟 被引量:4

Numerical Solution and Simulation of Soliton Using Matlab
在线阅读 下载PDF
导出
摘要 从数值模拟及图像中得到KdV方程的性质和特点,阐述了孤波形成的物理意义,并以此论证理论推导的结果,形象准确地得到了在不同初值条件下波形的变化.通过模拟KP方程演示孤立子在三维下的运动,揭示孤立子在三维运动时的一些性质,并与KdV方程比较. The characters of KdV function are analyzed visually by computational methods, and the physical meaning of solitary wave is expounded. Based on these works, the theoretic results are proved practical. Also, the motions of solitary waves under the different initial conditions are described accurately. The simulations of KP function show some characters of soliton in three-dimensional space, comparing with those of KdV function.
出处 《首都师范大学学报(自然科学版)》 2006年第3期29-33,共5页 Journal of Capital Normal University:Natural Science Edition
关键词 孤立子 MATLAB 数值计算 KDV方程 KP方程 soliton, matlab, numerical computation, KdV function, KP function.
  • 相关文献

参考文献1

二级参考文献2

  • 1Qiang Tian,Hui Zhou,Rui Zhu.A theoretical description for solitons in polyacetylene[J].Science in China Series A: Mathematics.2002(7)
  • 2I. A. Anders,V. P. Kotlyarov,E. Ya. Khruslov.Curved asymptotic solitons of the Kadomtsev-Petviashvili equation[J].Theoretical and Mathematical Physics.1994(1)

同被引文献26

  • 1刘正荣.关于孤立子的研究[J].云南大学学报(自然科学版),2003,25(3):207-211. 被引量:4
  • 2刘扬.对流扩散方程的新型Crank-Nicholson差分格式[J].数学杂志,2005,25(4):463-467. 被引量:11
  • 3曲富丽,王文洽,张鸿庆(推荐).三阶非线性KdV方程的交替分段显-隐差分格式[J].应用数学和力学,2007,28(7):869-876. 被引量:15
  • 4郭柏灵,庞小峰.孤立波[M].科技出版社.
  • 5Wilhelm R.Application of fusion high-power RF techniques to the non-fusion field[J].Plasma Phys Control Fusion, 1993, 35(suppl A):199-210.
  • 6Ikezi H, Wojtowicz S S, Waltz R E, et al.High-power soliton generation at microwave frequencies[J].Journal of Applied Physics, 1988, 64(6):3277-3281.
  • 7Ikezi H, DeGrassie J S, Drake J.Soliton generation at 10 MW level in the very high frequency band[J].Appl Phys Lett, 1991, 58(9):986-987.
  • 8Brown M P, Smith P W.High power, pulsed soliton generation at radio and microwave frequency[C]//Digest of Technical Papers of Pulsed Power Conference-1997.1997, 1:346-354.
  • 9Darling J D, Smith P W.High power pulsed RF extraction from nonlinear lumped element transmission lines[J].IEEE Trans on Plasma Sci, 2008, 36(5):2598-2603.
  • 10Afshari E, Bhat H S, Hajimiri A, et al.Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines[J].Journal of Applied Physics, 2006, 99:054901.

引证文献4

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部