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| The Exact Traveling Wave Solutions to Two Integrable KdV6 Equations |
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Citation： |
Jibin LI,Yi ZHANG.The Exact Traveling Wave Solutions to Two Integrable KdV6 Equations[J].Chinese Annals of Mathematics B,2012,33(2):179~190 |
| Page view： 2126
Net amount： 1694 |
Authors： |
Jibin LI; Yi ZHANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10771196, 10831003) and the Innovation Project of Zhejiang Province (No. T200905). |
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| Abstract： |
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. |
Keywords： |
KdV6 equation, Exact traveling wave solution, Solitary wave solution,Quasi-periodic wave solution |
Classification： |
34C25,34C37,35Q35,35B10,35Q51,35Q53,37N10 |
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