期刊文献+

非线性色散-耗散方程的孤子解 被引量:6

SOLITON SOLUTIONS OF A NONLINEAR DISPERSIVE DISSIPATIVE EQUATION
在线阅读 下载PDF
导出
摘要 用孤子理论中的双线性方法,我们求到了一个非线性色散-耗散方程的孤子解,这个方程描述了由冷离子和热电子构成的等离子体中的弱非线性离-声波. Using the bilinear methods in the soliton theroy, we have derived soliton solutions of a nonlinear dispersive dissipative equation, which describes weak nonlinear ionacoustic waves in a plasma consisting of cold ions and warm electrons.
作者 吴绍全
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 1998年第2期174-175,共2页 Journal of Sichuan Normal University(Natural Science)
关键词 非线性 双线性方法 孤子解 色散-耗散方程 Nonlinear equations Bilinear methods Soliton solutions
  • 相关文献

同被引文献27

  • 1夏鸿鸣,何万生,温志贤.Tanh函数法的推广及应用[J].甘肃科学学报,2006,18(4):10-12. 被引量:1
  • 2[1]Fan EG.Extended tanh -function method and its applications to nonlinear equations[J].Phys Lett A,2000,277:212-218.
  • 3[3]Yan CT.A simple transformation for nonlinear waves[J].Phys Lett A,1996; 224:77-84.
  • 4[5]Chert Y,Li B.General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers -type equations with nonlinear terms of any order[J].Chaos,Solitons and Fractals,2004,19(4):977 -984.
  • 5[6]Chen Y,Wang Q.Multiple Riccati equations rational expansion method and complexion solutions of the Whitham-Broer-Kaup equation[J].Phys Lett A,2005 ; 347:215 -227.
  • 6[7]Zhou YB,Wang ML,Wang YM.Periodic wave solutions to a coupled KdV equation with variable coefficients[J].Phys Lett A,2003; 308:31-36.
  • 7[8]Cai GL,Wang Q C.A Modified F-expansion Method for Solving Breaking Soliton Equation[J].International Journal of Nonlinear Science,2006,2(2):93 -99.
  • 8[9]Wang DS,Zhang HQ.Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation[J].Chaos,Solitons and Fractals,2005 ; 25:601 -610.
  • 9[10]E.Yomba.The extended F-expansion method and its ap plication for solving the nonlinear wave,CKGZ,GDS,DS and GZ equations[J].Phys Lett A,2005 ; 340:149-160.
  • 10R.Hirota.The Direct Method in Soliton Theory[M].Cambridge University Press,Cambridge,2004.

引证文献6

二级引证文献4

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