期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

用辅助常微分方程求解复合KdV方程的行波解(英文)

Travelling Wave Solutions for the Compound KdV Equation by Using a Sub-ODE Method
下载PDF
导出
摘要 利用辅助常微分方程得到复合KdV方程的精确行波解.辅助常微分方程法的核心思路是:部分复杂非线性波动方程的行波解可以通过求解一些简单的、可解的微分方程——辅助常微分方程的方法得到解决. The exact travelling wave solutions for the compound KdV equation are obtained by using a subsidiary ordinary differential equation method（sub-ODE method for short）. The key ideas of the sub-ODE method are that the traveling wave solutions of a complicated nonlinear wave equation can be constructed by means of the solutions of some simple and solvable ODEs which are called sub-ODEs.
作者 席忠红 李海翼
机构地区 甘肃民族师范学院物理与水电工程系
出处 《应用数学》 CSCD 北大核心 2013年第4期876-880,共5页 Mathematica Applicata
基金 Supported by the Foundation of President of Gansu Normal University for Nationalities (12-17)
关键词 复合KdV方程 非线性偏微分方程 辅助微分方程 行波解 非线性微分方程 Compound KdV equation Nonlinear ordinary differential equation Sub ODE method Travelling wave solution ~ Nonlinear partial differential equation
分类号 O411.1 [理学—理论物理]
  • 相关文献

参考文献10

  • 1ZHANG Sheng. Exp-function method for solving Maccari's system[J]. Phys. Lett. A. ,2007,371..65-71.
  • 2Abdou M A,Soliman A A, E1-Basyony S T. New application of Exp-function method for improved Bouss- inesq equationD]. Phys. Lett. A. , 2007,369 : 469-475.
  • 3HE Jihuan, WU Xuhong. Exp-function method for nonlinear wave equations[J]. Chaos, Solitons and Fractals. , 2006,30 : 700-708.
  • 4Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method [J]. Phys. Lett. A. , 2007,365:213-219.
  • 5ZHANG Sheng. Application of Exp-function method to Riccati equation and new exact solutions with three ar- bitrary functions of Broer-Kaup-Kuper-shmidt equations[J]. Phys. Lett. A. , 2008,372 : 1873-1880.
  • 6Beong In Yun. A non-iterative method for solving non-linear equations[J]. Appl. Math. Comput. , 2008, 198 : 691-699.
  • 7LIN Chang,LI Yazhou,LI Kaiming. The formally variable separation approach for the dust-acoustic soli- tary waves with dust charge variation[J]. Communications in Nonlinear Science and Numerical Simula- tion, 2007,12: 920-927.
  • 8EI-Wa:il S A, Abdou M A, Elhanbaly A. New solitons and periodic wave solutions for nonlinear evolution equations[J]. Phys. Lett. A. ,2007,353 .. 40-47.
  • 9WANG Mingliang, LI Xiangzheng. Extended F-expansion method and periodic wave solutions for the generalized Zakharov equations[J]. Phys. Lett. A. , 2005,343 .. 48-54.
  • 10ZHANG Sheng, XIA Tiecheng. A further improved extended Fan subequation method and its applica- tion to the (3+ 1)-dimensional Kadom-stev-Petviashvili equation[J]. Phys. Lett. A. ,2006,356:119-123.
应用数学
2013年 第4期

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