(2+1)-维广义Benney-Luke方程的精确行波解

doi:10.1007/s10483-008-1101-x

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1391-1398 .doi: https://doi.org/10.1007/s10483-008-1101-x

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(2+1)-维广义Benney-Luke方程的精确行波解

李继彬^1,2

1. 浙江师范大学数学系, 浙江金华 321004;
2. 昆明理工大学理学院，云南昆明 650093

收稿日期:2008-03-12 修回日期:2008-09-22 出版日期:2008-11-01 发布日期:2008-11-01
通讯作者: 李继彬

Exact traveling wave solutions to 2D-generalized Benney-Luke
equation

LI Ji-bin^1,2

1. Department of Mathematics, Zhejiang Normal University,Jinhua 321004, Zhejiang Province, P. R. China; 2. Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, P. R. China

Received:2008-03-12 Revised:2008-09-22 Online:2008-11-01 Published:2008-11-01
Contact: LI Ji-bin

摘要/Abstract

摘要： 本文用平面动力系统方法研究(2+1)-维广义Benney-Luke方程的精确行波解，获得了该方程的扭波解,不可数无穷多光滑周期波解和某些无界行波解的精确的参数表达式，以及上述解存在的参数条件.

关键词: 无界行波解, 扭波解, 非线性波方程, 动力系统方法, 周期波解

Abstract: By using the dynamical system method to study the 2D-generalized Benney-Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained.

Key words: kink wave solution, periodic wave solution, unbounded wave solution, nonlinear wave equation, dynamical system method

中图分类号:

李继彬;. (2+1)-维广义Benney-Luke方程的精确行波解[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1391-1398 .

LI Ji-bin;. Exact traveling wave solutions to 2D-generalized Benney-Luke
equation[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1391-1398 .

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(2+1)-维广义Benney-Luke方程的精确行波解

Exact traveling wave solutions to 2D-generalized Benney-Luke
equation

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(2+1)-维广义Benney-Luke方程的精确行波解

Exact traveling wave solutions to 2D-generalized Benney-Luke equation

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Exact traveling wave solutions to 2D-generalized Benney-Luke
equation