Variational approach, soliton solutions and singular solitons for new coupled ZK system

被引：11

作者：

Elboree, Mohammed K. ^{[1
]}

机构：

[1] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 70卷 / 05期

关键词：

Variational principle; Coupled Zakharov-Kuznetsov system; Soliton solutions; Singular solitons; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-DIFFERENCE EQUATION; BOUSSINESQ-BURGERS EQUATIONS; SEMI-INVERSE METHOD; DE-VRIES EQUATIONS; SYMBOLIC COMPUTATION; SCHRODINGER-EQUATION; HEAT-CONDUCTION; PERIODIC-WAVE; PRINCIPLE;

D O I：

10.1016/j.camwa.2015.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a variational principle for the new coupled Zakharov-Kuznetsov (ZK) system by the semi-inverse method. Based on this formulation, a new solitary wave solution can be easily obtained using Ritz method. We obtained the conditions which must remain valid for continuation of the new solitary solution and other solutions to exist. We also studied the collision dynamics between waves in each case. Finally, we give the numerical simulations to complete the study. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：934 / 941

页数：8

共 37 条

[1] A numerical solution of Burgers' equation by modified Adomian method [J].

Abbasbandy, S ;

Darvishi, MT .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (03) :1265-1272

[2]

Aslan I, 2015, NONLINEAR ANAL-MODEL, V20, P132, DOI 10.15388/NA.2015.1.9

[3] An analytic approach to a class of fractional differential-difference equations of rational type via symbolic computation [J].

Aslan, Ismail .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) :27-36

[4]

Aslan I, 2014, COMMUN THEOR PHYS, V61, P595, DOI 10.1088/0253-6102/61/5/09

[5] VARIATIONAL METHOD FOR STUDYING SOLITONS IN THE KORTEWEG-DEVRIES EQUATION [J].

COOPER, F ;

LUCHERONI, C ;

SHEPARD, H ;

SODANO, P .

PHYSICS LETTERS A, 1993, 173 (01) :33-36

[6] A Modification of Extended Homoclinic Test Approach to Solve the (3+1)-Dimensional Potential-YTSF Equation [J].

Darvishi, M. T. ;

Najafi, Mohammad .

CHINESE PHYSICS LETTERS, 2011, 28 (04)

[7] New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations [J].

Darvishi, M. T. ;

Khani, F. ;

Hamedi-Nezhad, S. ;

Ryu, Sang-Wan .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (04) :908-919

[8] Hyperbolic and trigonometric solutions for some nonlinear evolution equations [J].

Elboree, Mohammed K. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (11) :4085-4096

[9] New soliton solutions for a Kadomtsev-Petviashvili (KP) like equation coupled to a Schrodinger equation [J].

Elboree, Mohammed K. .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) :5966-5973

[10] A SHORT REMARK ON HE-LEE'S VARIATIONAL PRINCIPLE FOR HEAT CONDUCTION [J].

Fei, Dong-Dong ;

Liu, Fu-Juan ;

Wang, Ping ;

Liu, Hong-Yan .

THERMAL SCIENCE, 2013, 17 (05) :1561-1563

← 1 2 3 4 →