摘要
The exact explicit traveling solutions to the two completely integrable sixthorder 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.
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.
基金
Project supported by the National Natural Science Foundation of China (Nos.10771196,10831003)
the Innovation Project of Zhejiang Province (No.T200905)
