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| Relationship Between the Restricted AKNS Flows and the Restricted KdV Flows |
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Citation： |
Ruguang ZHOU.Relationship Between the Restricted AKNS Flows and the Restricted KdV Flows[J].Chinese Annals of Mathematics B,2012,33(2):191~206 |
| Page view： 1916
Net amount： 1358 |
Authors： |
Ruguang ZHOU; |
Foundation： |
the National Natural Science Foundation of China (No. 10871165). |
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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： |
The restricted AKNS flow, The restricted KdV flow, Nonlinearization of spectral problem, Reduction condition,Integrable Hamiltonian system |
Classification： |
37K10, 37J35 |
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