NEW PERIODIC SOLITARY-WAVE SOLUTIONS TO THE (3+1)-DIMENSIONAL KADOMTSEV-PETVIASHVILI EQUATION

被引：1

作者：

Li, Zitian ^{[1
]}

Dai, Zhengde ^{[2
]}

Liu, Jun ^{[1
]}

机构：

[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing Yunnan 655011, Peoples R China

[2] Yunnan Univ, Sch Math & Stat, Kunmingyunnan 650091, Peoples R China

来源：

MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Extended homoclinic test; Doubly periodic; Soliton; Periodic solitary wave; EXP-FUNCTION METHOD; HEAT-CONDUCTION EQUATIONS; EXPLICIT SOLUTIONS; GENERALIZED FORM; VAKHNENKO;

D O I：

10.3390/mca15050877

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By the extended homoclinic test technique, explicit solutions of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation.

引用

页码：877 / 882

页数：6

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