(2+1)维Sawada-Kotera方程的非行波初值扰动新解

J4 ›› 2017, Vol. 34 ›› Issue (6): 700-704.

(2+1)维Sawada-Kotera方程的非行波初值扰动新解

姜颖,鲜大权

西南科技大学

收稿日期:2016-09-06 修回日期:2016-10-10 出版日期:2017-11-28 发布日期:2017-12-11
通讯作者: 姜颖

New Non-travelling Wave Solutions With Initial Value Perturbation of (2+1)D　Sawada-Kotera Equation

Received:2016-09-06 Revised:2016-10-10 Published:2017-11-28 Online:2017-12-11

摘要/Abstract

摘要： 针对(2+1)维Sawada-Kotera方程，利用Lie对称群约化法、扰动Painlevé截断展开法和同宿测试法相结合思想，求得了该方程的带初值扰动参数和含时间任意函数的非行波周期解和扭结解。结果表明该方程具有丰富的动力学内涵，它们为解释更加广泛的物理现象提供了解析工具。

关键词: 扰动非行波解

Abstract: In this work, a (2+1)D Sawada-Kotera equation is studied. Based on combining Lie symmetry reduction method, perturbation Painleve truncation expansion method and homoclinic test method, the new non-traveling wave periodic solutions and the non-traveling wave kink solutions which containing a initial value perturbation parameter and an arbitrary function of time for this equation are obtained. The results may help us to understand the rich dynamic features of this equation, which will provide an powerful, efficient and easy mathematical technology to investigate more and more physical phenomena.

Key words: perturbation non-travelling wave solutions

姜颖鲜大权. (2+1)维Sawada-Kotera方程的非行波初值扰动新解[J]. J4, 2017, 34(6): 700-704.

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