简化的双线性法求Lax型7阶KdV方程的多孤子解

A Simplied Bilinear Method for Solving Seventh Order KdV Equations of the Lax Type

应用简化的双线性方法研究由Lax导出的7阶KdV方程.通过一些辅助函数的特殊表达式作为解的假设,利用数学软件计算获得了该方程的两孤子解和三孤子解,并给出两孤子解和三孤子解的三维图和二维图,直观地显示了这两种孤子解的动力学行为,同时也体现了简化的双线性方法在解可积方程中的有效性.

Using a simplified bilinear method ,we study the seventh order KdV equation given by Lax .By some special auxiliary functions and employing a mathematical software ,two-soliton solutions and threesoliton solutions of this equation are obtained ,The 3D and 2D graphs of two-soliton solutions and threesoliton solutions are given ,and the properties of these multi-soliton solutions can be directly perceived through the senses .It show s that the simplified bilinear method is very valid to solve integrable equations .