广义五阶Hirota-Satsuma方程与KdV耦合的孤子解
Soliton solution of the generalized fifth order Hirota-Satsuma equation coupled with KdV
摘要：
我们引入了一个五阶偏微分方程作为Hirota-Satsuma耦合KdV系统的推广。基于双曲正切法对该方程进行了研究。通过在Hirota-Satsuma方程中引入合适的自变量，将该偏微分方程转化为常微分方程，并通过数值方法求解转化后的Hirota-Satsuma方程，证明了该方程存在孤子解。
英文摘要：
We introduced a fifth-order partial differential equation as a generalization of Hirota-Satsuma coupled with KdV system. This equation is investigated based on tanh method. By applying the suitable independent variable in Hirota-Satsuma equation, we can convert this partial differential equations(PDE) into ordinary differential equations(ODE) .Solving the converted Hirota-Satsuma equation by numerical methods we showed this equation have had soliton solution.
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