由一类非线性常微分方程的抛物线解所确定的扭波

李继彬; 黎明; 纳静

由一类非线性常微分方程的抛物线解所确定的扭波

李继彬^1,2,
黎明³,
纳静⁴

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,昆明 650093;3.曲靖师院数学系,云南曲靖 655000;4.云南财经大学计算机科学系,昆明 650221

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)

详细信息

作者简介:
李继彬(1943- ),男,云南人,教授,博士生导师(联系人.Tel:+86-871-5171274;E-mail:lijb@zjnu.cn).

中图分类号: O175.12
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- 被引次数: 0
出版历程
- 收稿日期: 2006-01-16
- 修回日期: 2007-04-04
- 刊出日期: 2007-07-15

Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation

1.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;

摘要

摘要: 通过求解与平面动力系统的两个平衡点相连接的抛物线解，获得了6种非线性行波方程的扭波解存在条件，并给出了这些扭波解的参数表达式，以及上述解存在的参数条件．
- 扭波解 /
- 连接轨道 /
- 抛物线解 /
- 非线性行波方程 /
- 非线性发展方程
Abstract: By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations was shown. Some exact explicit parametric representations of kink wave solutions were given. Explicit parameter conditions to guarantee the existence of kink wave solutions were determined.
- kink wave solution /
- connecting orbit /
- parabola solution /
- nonlinear wave equation /
- non-linear evolution equation

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参考文献(10)

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