Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation

被引：22
|
作者：
Wazwaz, Abdul-Majid [1 ]
Triki, Houria [2 ]
机构：
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[2] Badji Mokhtar Univ, Radiat Phys Lab, Dept Phys, Fac Sci, Annaba 23000, Algeria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期
关键词：
Ramani equation; Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions; MODEL-EQUATIONS; BACKLUND-TRANSFORMATIONS; INVERSE SCATTERING; FRONT SOLUTIONS;
D O I：
10.1016/j.amc.2010.01.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the completely integrable sixth-order nonlinear Ramani equation and a coupled Ramani equation are studied. Multiple soliton solutions and multiple singular soliton solutions are formally derived for these two equations. The Hirota's bilinear method is used to determine the two distinct structures of solutions. The resonance relations for the three cases are investigated. (C) 2010 Elsevier Inc. All rights reserved.
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页码：332 / 336
页数：5
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