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

被引：92

作者：

Wang, Gangwei ^{[1
,2
]}

Yang, Kaitong ^{[1
]}

Gu, Haicheng ^{[3
]}

Guan, Fei ^{[1
]}

Kara, A. H. ^{[4
]}

机构：

[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Hebei, Peoples R China

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[3] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

[4] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

NUCLEAR PHYSICS B | 2020年 / 953卷

关键词：

MULTI-SYMPLECTIC INTEGRATORS; CONSERVATION-LAWS; EXPLICIT SOLUTIONS; REPRESENTATIONS; HIERARCHIES;

D O I：

10.1016/j.nuclphysb.2020.114956

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 travelingwave 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. (C) 2020 The Authors. Published by Elsevier B.V.

引用

页数：14

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