一类耦合非线性波方程的行波解分支

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Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System

1.
School of Economics & Management, Southeast University, Nanjing 210096, P. R. China;

摘要: 利用动力系统的Hopf分支理论来研究耦合非线性波方程周期行波解的存在性和稳定性．应用行波法把一类耦合非线性波方程转换为三维动力系统来研究，从而给在不同的参数条件下给出了周期解存在和稳定性的充分条件．
- 行波解 /
- Hopf分支 /
- 非线性波方程
Abstract: By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transforma kind of the coupled nolinear wave equations into three- dimension dynamical systems. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above so lutions are given.
- travelling wave solution /
- Hopf bifurcation /
- nonlinear wave equation

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