色散系数可调的球KdV方程精确衰减孤波解

Exact Decay Solitary Wave Solutions of Spherical KdV Equation with Adjustable Dispersive Coefficient

根据简化齐次平衡原则,导出了一个由齐次方程的解到一个可变色散系数的球KdV方程解的非线性变换。该齐次方程容许有指数函数形式的解,通过非线性变换,获得了可变色散系数的球KdV方程的精确衰减单孤波解和双孤波解。

Based on the simplified homogeneous balance principle,a nonlinear transformation from the solution of a homogeneous equation to the solution of a spherical Kd V equation with adjustable dispersive coefficient was derived. Since the homogeneous equation admited an exponential type solution,by nonlinear transformation,the exact decay single solitary wave solution and 2-solitary wave solution of the spherical Kd V equation with adjustable dispersive coefficient were acquired.