1-Soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients

被引：38

作者：

Biswas, Anjan ^{[1
]}

机构：

[1] Delaware State Univ, Ctr Res & Educ Opt Sci & Applicat, Dept Appl Math & Theoret Phys, Dover, DE 19901 USA

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 33期

关键词：

Solitons; Integrability; Nonlinear dispersion; TRAVELING-WAVE SOLUTIONS;

D O I：

10.1016/j.physleta.2009.06.029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the 1-soliton solution of the Zakharov-Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients is obtained. There are two models for this kind of an equation that are studied. The constraint relation between these time-dependent coefficients is established for the solitons to exist. Subsequently, this equation is again analysed with generalized evolution. The solitary wave ansatz is used to carry out this investigation. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：2931 / 2934

页数：4

共 10 条

[1] Seven common errors in finding exact solutions of nonlinear differential equations [J].

Kudryashov, Nikolai A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) :3507-3529

[2] Different physical structures of solutions for two related Zakharov-Kuznetsov equations [J].

Lai, Shaoyong ;

Yin, Jun ;

Wu, Yonghong .

PHYSICS LETTERS A, 2008, 372 (43) :6461-6468

[3] Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation [J].

Li, B ;

Chen, Y ;

Zhang, HQ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (2-3) :653-666

[4] The formally variable separation approach for the modified Zakharov-Kuznetsov equation [J].

Lin, Chang ;

Zhang, Xiu-lian .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (05) :636-642

[5] Stability of solitary-wave solutions to a modified Zakharov-Kuznetsov equation [J].

Munro, S ;

Parkes, EJ .

JOURNAL OF PLASMA PHYSICS, 2000, 64 (04) :411-426

[6] Nonlinear Zakharov-Kuznetsov equation for obliquely propagating two-dimensional ion-acoustic solitary waves in a relativistic, rotating magnetized electron-positron-ion plasma [J].

Mushtaq, A ;

Shah, HA .

PHYSICS OF PLASMAS, 2005, 12 (07) :1-8

[7] New spiky and explosive solitary wave solutions for further modified Zakharov-Kuznetsov equation [J].

Naranmandula ;

Wang, KX .

PHYSICS LETTERS A, 2005, 336 (2-3) :112-116

[8] A note on the unique continuation property for Zakharov-Kuznetsov equation [J].

Panthee, M .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (03) :425-438

[9] Exact travelling wave solutions for the Zakharov-Kuznetsov equation [J].

Peng, Yan-Ze .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) :397-405

[10] Explicit travelling wave solutions of variants of the K(n,n) and the ZK(n,n) equations with compact and noncompact structures [J].

Wazwaz, AM .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (01) :213-230

← 1 →