期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
New Exact Solutions of KP Equation with Variable Coefficients
摘要/Abstract
摘要：
利用修正的CK直接约化方法,将变系数KP方程约化为等价的常系数方程,得到了常系数和变系数KP方程的解之间的关系.运用李群方法求得了常系数KP方程的解,从而获得了变系数KP方程的新精确解.另外,用假设的孤立波方法得到了变系数KP方程的一个孤立子解.
Abstract：
Using an improved direct reduction method,the equival ence transformation of KP equation with variable coefficients is found,and the corresponding relation ship between the solutions of KP equation and one of the corresponding KP equation with constant coefficients is obtained.Using the Lie group methods solutions of KP equation with constant coefficients are obtained,so new exact solutions of KP with variable coefficients are gotten.In addition,one soliton solution is obtained by the aid of solitary wave ansatz method.