非线性KP-BBM方程行波解的动态分析

研究了一类受到阻尼扰动和外激励扰动的非线性KP-BBM系统，通过行波变换转化为常微分方程，运用Melnikov方法和数值积分法来计算同宿轨稳定流形和不稳定流形间的距离，得到了该系统在一定参数条件下，孤立波将会历经倍周期分岔变化走向混沌之路并且给出对应的混沌阀值曲线，并运用仿真实验验证了结论的正确性。

Dynamic analysis for travelling wave solutions of the nonlinear KP-BBM equation

The nonlinear KP-BBM system with damping perturbation and external excitation disturbance is studied. By using traveling wave transform, an ordinary differential equation is established. A Melnikov method and a numerical integral method are presented to compute the distance of stable manifold and an unstable manifold for homoclinic orbit, and under some parameter condition a plot of threshold above which chaos may occur is obtained, which implied solitary waves undergo period doubling bifurcation and become eventually chaos. Finally simulations are carried out for this system.