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

M.G. Hafez; M.A. Akbar

doi:10.1016/j.jppr.2015.02.002

Propulsion and Power Research (Mar 2015)

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

M.G. Hafez,
M.A. Akbar

Affiliations

M.G. Hafez: Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong-4349, Bangladesh
M.A. Akbar: Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

DOI: https://doi.org/10.1016/j.jppr.2015.02.002
Journal volume & issue: Vol. 4, no. 1
pp. 31 – 39

Abstract

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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(-Φ(ξ))-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 bell 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.

Published in Propulsion and Power Research

ISSN: 2212-540X (Online)
Publisher: KeAi Communications Co., Ltd.
Country of publisher: China
LCC subjects: Technology: Motor vehicles. Aeronautics. Astronautics
Website: https://www.keaipublishing.com/en/journals/propulsion-and-power-research/

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