The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions

被引：52

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 03期

关键词：

Calogero-Bogoyavlenskii-Schiff Equations; Hirota's Method; Multiple Solitons; Multiple Singular Solitons; JIMBO-MIWA; BOGOYAVLENSKII-SCHIFF; MODEL-EQUATIONS;

D O I：

10.1515/zna-2010-0304

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this work, the generalized (2+1) and (3+1)-dimensional Calogero-Bogoyavlenskii-Schiff equations are studied. We employ the Cole-Hopf transformation and the Hirota bilinear method to derive multiple-soliton solutions and multiple singular soliton solutions for these equations. The necessary conditions for complete integrability of each equation are derived.

引用

页码：173 / 181

页数：9

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