A variety of distinct kinds of multiple soliton solutions for a (3?+?1)-dimensional nonlinear evolution equation

被引：42

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 03期

关键词：

multiple soliton solutions; simplified Hirota's method; resonance; HIROTA 3-SOLITON CONDITION; BILINEAR EQUATIONS; FORM; SEARCH; WAVES;

D O I：

10.1002/mma.2600

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a variety of distinct kinds of multiple soliton solutions is derived for a ( 3?+?1)-dimensional nonlinear evolution equation. The simplified form of the Hirota's method is used to derive this set of distinct kinds of multiple soliton solutions. The coefficients of the spatial variables play a major role in the existence of this variety of multiple soliton solutions for the same equation. The resonance phenomenon is investigated as well. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：349 / 357

页数：9

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