Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid

被引：25

作者：

Liu, Jian-Guo ^{[1
]}

机构：

[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 10期

关键词：

Extended homoclinic test technique; Bilinear form; Double periodic-soliton solutions; Symbolic computation; (3+1)-dimensional; Boiti-Leon-Manna-Pempinelli equation; KADOMTSEV-PETVIASHVILI EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; WAVE SOLUTIONS; RATIONAL SOLUTIONS; 3-WAVE SOLUTIONS; BALANCE METHOD; KP EQUATION;

D O I：

10.1016/j.camwa.2018.02.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under investigation is the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid in this paper. The extended homoclinic test technique, ansatz functions and the bilinear form are used to construct double periodic-soliton solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Some entirely new double periodic-soliton solutions are presented. The properties and physical structure for these obtained solutions are discussed with some figures. The ansatz functions are first used in (3+1)-dimensional higher order differential equation. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：3604 / 3613

页数：10

共 51 条

[1]

Ablowitz M J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform

[2]

Ablowitz M. J., 1981, SIAM Studies in Applied Mathematics, V4, DOI 10.1137/1.9781611970883

[3]

Angelelli G., 2012, J PHYS A, V46, P1079

[4] Analytic investigation of the (2+1)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions [J].

Aslan, Ismail .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :6013-6017

[5] Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method [J].

Aslan, Ismail .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (08) :990-995

[6]

Bai C. J., 2012, INT J MODERN PHYS B, V22, P2407

[7] Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach [J].

Biswas, Anjan ;

Mirzazadeh, M. ;

Eslami, Mostafa ;

Milovic, Daniela ;

Belic, Milivoj .

FREQUENZ, 2014, 68 (11-12) :525-530

[8]

Dai Z.D., 2008, CHIN PHYS LETT A, V25, P1151

[9] Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation [J].

Dai, Zhengde ;

Li, Shaolin ;

Dai, Qingyun ;

Huang, Jian .

CHAOS SOLITONS & FRACTALS, 2007, 34 (04) :1148-1153

[10] Exact three-wave solutions for the KP equation [J].

Dai, Zhengde ;

Lin, Songqing ;

Fu, Haiming ;

Zeng, Xiping .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (05) :1599-1604

← 1 2 3 4 5 6 →