A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions

Gangwei Wang; Kaitong Yang; Haicheng Gu; Fei Guan; A.H. Kara

Nuclear Physics B (Apr 2020)

A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions

Gangwei Wang,
Kaitong Yang,
Haicheng Gu,
Fei Guan,
A.H. Kara

Affiliations

Gangwei Wang: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, PR China; School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China; Corresponding author at: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, PR China.
Kaitong Yang: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, PR China
Haicheng Gu: School of Mathematical and Statistical Sciences, University of Texas-Rio Grande Valley, Edinburg, TX 78539, USA
Fei Guan: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, PR China
A.H. Kara: School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

Journal volume & issue: Vol. 953

Abstract

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In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1)-dimensional sine-Gordon equation are constructed. The traveling wave solutions of the (2+1)-dimensional sinh-Gordon equation can also be provided in a similar manner. Meanwhile, conservation laws are derived.

Published in Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: http://www.journals.elsevier.com/nuclear-physics-b/

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