Sawada-Kotera-Kadomtsev-Petviashvili方程的行波解  

The Travelling Wave Solutions of Sawada-Kotera-Kadomtsev-Petviashvili Equation

作　　者：张金华[1] 

机构地区：[1]红河学院数学系,云南蒙自661100

出　　处：《四川师范大学学报（自然科学版）》2012年第1期90-94,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：云南省自然科学基金(2008CD186)资助项目

摘　　要：研究了SK-KP方程,该方程同时具有Sawada-Kotera方程和Kadomtsev-Petviashvili方程两个模型的双重特点,是一个可积性非常好的高阶非线性偏微分方程.利用F展开法与指数函数法相结合的方法,考察了该方程的精确解,获得了许多与现有文献中解的表达式不相同的各种精确解,从而丰富了相关文献中关于SK-KP方程的孤立子解和周期解的种类.尽管这些解的形式独特,但它们同样具有孤立波解、纽子波解和周期波解的各种动力学特征.In this paper,the SK-KP equation is studied again.This is PDE with double characters of two models for Sawada-Kotera equation and Kadomtsev-Petviashvili equations.The equation has very good integrality.By combinining with F-expansion method with exp-function method,the exact solutions of this equation are investigated.Different kinds of exact solutions are obtained,and the expressions of these exact solutions are different from those in the related references.Thus,the types of soliton solutions and periodic solutions of SK-KP equation appeared in those related references are enriched.Although the forms of these solutions are particular,they have same dynamic characters of soliton,kink wave and periodic wave solutions.

关 键 词：SK-KP方程 指数函数法 F展开法 孤立波解 纽子波解 周期波解 

分 类 号：O175.2[理学—数学]