New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Phi(xi))-expansion method

被引：17
作者：
Hafez, M. G. [1 ]
Akbar, M. A. [2 ]
机构：
[1] Chittagong Univ Engn Technol, Dept Math, Chittagong 4349, Bangladesh
[2] Rajshahi Univ, Dept Appl Math, Rajshali 6205, Bangladesh
来源：
PROPULSION AND POWER RESEARCH | 2015年 / 4卷 / 01期
关键词：
Klein-Gordon-Zaklrarov equation; Explicit solutions; Solitary wave solutions; Periodic wave solutions;
D O I：
10.1016/j.jppr.2015.02.002
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
The (1+1)-dimensional nonlinear Klein-Gordon-Zakharov equation considered as a model equation for describing the interaction of the Langmuir wave and the ion acoustic wave in high frequency plasma. By the execution of the exp(Phi(xi)-expansion, we obtain new explicit and exact traveling wave solutions to this equation. The obtained solutions include kink, singular kink, periodic wave solutions, soliton solutions and solitary wave solutions of hell types. The variety of structure and graphical representation make the dynamics of the equations visible and provides the mathematical foundation in plasma physics and engineering. (C) 2015 National Laboratory for Aeronautics and Astronautics. Production and hosting by Elsevier B.V. All rights reserved.
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收藏
页码：31 / 39
页数：9
相关论文
共 45 条
[1]   The extended tanh method and its applications for solving nonlinear physical models [J].
Abdou, M. A. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) :988-996
[2]   Modified extended tanh-function method and its application on nonlinear physical equations [J].
Abdou, M. A. ;
Soliman, A. A. .
PHYSICS LETTERS A, 2006, 353 (06) :487-492
[3]  
Ablowitz M.J., 1991, LONDON MATH SOC LECT, V149, P516
[4]   Non-perturbative solution of the Klein-Gordon-Zakharov equation [J].
Adomian, G .
APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (01) :89-92
[5]  
Dendy R. Q., 1990, PLASMA DYMIMICS
[6]   Solitons and cnoidal waves of the Klein-Gordon-Zakharov equation in plasmas [J].
Ebadi, Ghodrat ;
Krishnan, E. V. ;
Biswas, Anjan .
PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (02) :185-198
[7]   New exact travelling wave solutions using modified extended tanh-function method [J].
El-Wakil, S. A. ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (04) :840-852
[8]  
GUO BL, 1995, J MATH PHYS, V36, P4119, DOI 10.1063/1.530950
[9]  
Hafez M.G., 2014, WORLD APPL SCI J, V32, P2150, DOI DOI 10.5829/ID0SI.WASJ.2014.32.10.3569
[10]  
Hafez M.G., 2014, BRIT J MATH COMPUT S, V4, P2582, DOI DOI 10.9734/BJMCS/2014/11563
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