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

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 constructe...

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Bibliographic Details
Main Authors: Gangwei Wang, Kaitong Yang, Haicheng Gu, Fei Guan, A.H. Kara
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320300420