On the nonlocal Boussinesq equation: Multiple-soliton solutions

被引：28

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 11期

关键词：

Nonlocal Boussinesq equation; Completely integrable; Multiple-soliton solutions; Simplified Hirota method; HIROTA 3-SOLITON CONDITION; WATER-WAVE EQUATION; BILINEAR EQUATIONS; SEARCH; KAUP;

D O I：

10.1016/j.aml.2013.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we investigate the first-order nonlocal Boussinesq system. We use the simplified form of Hirota's direct method to determine multiple-soliton solutions for this system. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1094 / 1098

页数：5

共 50 条

[41] Multiple-soliton solutions for extended (3+1)-dimensional Jimbo-Miwa equations
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS LETTERS, 2017, 64 : 21 - 26
[42] Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction
Wazwaz, Abdul-Majid
PHYSICA SCRIPTA, 2010, 82 (05)
[43] A variety of distinct kinds of multiple soliton solutions for a (3?+?1)-dimensional nonlinear evolution equation
Wazwaz, Abdul-Majid
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (03) : 349 - 357
[44] The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2008, 201 (1-2) : 489 - 503
[45] Multiple soliton solutions for the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation
Wazwaz, Abdul-Majid
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1314 - 1318
[46] Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist
Wazwaz, Abdul-Majid
NONLINEAR DYNAMICS, 2017, 87 (03) : 1685 - 1691
[47] Multiple-soliton solutions and a generalized double Wronskian determinant to the (2+1)-dimensional nonlinear Schrodinger equations
Gao, Liu
Cheng, Li
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[48] A (2+1)-dimensional extension of the Benjamin-Ono equation: Multiple soliton solutions and multiple complex soliton solutions
Wazwaz, Abdul-Majid
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2018, 28 (11) : 2681 - 2687
[49] Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist
Abdul-Majid Wazwaz
Nonlinear Dynamics, 2017, 87 : 1685 - 1691
[50] Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions
Wazwaz, Abdul-Majid
JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (04) : 915 - 919

← 1 2 3 4 5 →