The exact traveling wave solutions to two integrable KdV6 equations

被引：0
|
作者：
Jibin Li
Yi Zhang
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Kunming University of Science and Technology,Faculty of Science
[3] Zhejiang Normal University,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2012年 / 33卷
关键词：
KdV6 equation; Exact traveling wave solution; Solitary wave solution; Quasi-periodic wave solution; 34C25; 34C37; 35Q35; 35B10; 35Q51; 35Q53; 37N10;
D O I：
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中图分类号：
学科分类号：
摘要：
The exact explicit traveling solutions to the two completely integrable sixth-order nonlinear equations KdV6 are given by using the method of dynamical systems and Cosgrove’s work. It is proved that these traveling wave solutions correspond to some orbits in the 4-dimensional phase space of two 4-dimensional dynamical systems. These orbits lie in the intersection of two level sets defined by two first integrals.
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页码：179 / 190
页数：11
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