A new method of new exact solutions and solitary  wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation

doi:10.1088/1009-1963/15/12/007

中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2804-2808.doi: 10.1088/1009-1963/15/12/007

A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation

毛杰健, 杨建荣

Department of Physics, Shangrao Normal College, Shangrao 334001, China

收稿日期:2005-12-26 出版日期:2006-12-20 发布日期:2006-12-20

A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation

Mao Jie-Jian(毛杰健)^† and Yang Jian-Rong(杨建荣)

Department of Physics, Shangrao Normal College, Shangrao 334001, China

Received:2005-12-26 Online:2006-12-20 Published:2006-12-20

摘要/Abstract

摘要： Using the solution of general Korteweg--de Vries (KdV) equation, the solutions of the generalized variable coefficient Kadomtsev--Petviashvili (KP) equation are constructed, and then its new solitary wave-like solution and Jacobi elliptic function solution are obtained.

关键词: KdV equation, generalized variable coefficients KP equation, solitary wave-like solution, exact solution

Abstract: Using the solution of general Korteweg--de Vries (KdV) equation, the solutions of the generalized variable coefficient Kadomtsev--Petviashvili (KP) equation are constructed, and then its new solitary wave-like solution and Jacobi elliptic function solution are obtained.

Key words: KdV equation, generalized variable coefficients KP equation, solitary wave-like solution, exact solution

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

毛杰健, 杨建荣. A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation[J]. 中国物理B, 2006, 15(12): 2804-2808.

Mao Jie-Jian(毛杰健) and Yang Jian-Rong(杨建荣). A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation[J]. Chinese Physics, 2006, 15(12): 2804-2808.

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A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation

A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev--Petviashvili equation

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