一类二次KdV类型水波方程的行波解

龙瑶; 李继彬; 芮伟国; 何斌

一类二次KdV类型水波方程的行波解

红河学院数学系,云南蒙自 661100;2.浙江师范大学数学系,浙江金华 321004;3.昆明理工大学理学院,昆明 650093

基金项目: 国家自然科学基金资助项目(10231020);云南省自然科学基金资助项目(2003A0018M);云南省教育厅科学研究基金重点资助项目(5Z0071A)

详细信息

作者简介:
龙瑶(1957- ),女,云南西盟人,教授(联系人.Tel:+86-873-3699239;E-mail:yaolong04@163.com).

中图分类号: O175.12
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- 被引次数: 0
出版历程
- 收稿日期: 2006-02-28
- 修回日期: 2007-09-17
- 刊出日期: 2007-11-15

Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type

Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, P. R. China;

摘要

摘要: 应用平面动力系统理论研究了一类非线性KdV方程的行波解的动力学行为．在参数空间的不同区域内,给出了系统存在孤立波解,周期波解,扭子和反扭子波解的充分条件,并计算出所有可能的精确行波解的参数表示．
- 孤立波解 /
- 周期波解 /
- 扭子波和反扭子波解 /
- 光滑和非光滑周期波
Abstract: The theory of planar dynamical systems is used to study the dynamical behaviour of the travelling wave solutions of a nonlinear wave equations of KdV type. In different regions of the parametric space, sufficient conditions to guarantee the existence of solitary wave solutions, periodic wave solutions, kink and anti-kink wave solutions are given. All possible exact explicit parametric representations are obtained for these waves.
- solitary wave solution /
- periodic wave solution /
- kink wave and anti-kink wave solutions /
- smooth and non-smooth periodic wave

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参考文献(12)

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