【摘 要】
：
In this paper,we study the dynamical behavior and bifurcations in invariant manifolds for a quintic nonlinear Schr(o)dinger system based on the methods and theories of dynamical system and applied bif
【机 构】
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College of Applied Sciences, Beijing University of Technology, Beijing
【出 处】
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The 5th International Conference on Dynamics, Vibration and
论文部分内容阅读
In this paper,we study the dynamical behavior and bifurcations in invariant manifolds for a quintic nonlinear Schr(o)dinger system based on the methods and theories of dynamical system and applied bifurcation.Using traveling wave transformation,we get a 4-dimensional integrable dynamical system in the form of Hamiltonian function and its two first integral,then combined with the theories of invariant manifolds,equilibrium analyze and Hamiltonian function,we change the 4-dimensional system into a planar system,moreover,dynamical behavior and bifurcations of the planar system are obtained.Finally,based on above achievement,we have various traveling wave solutions of quintic nonlinear Schr(o)dinger system.
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