Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation

We use a generalized tanh function expansion method and a direct method to study the analytical solutions of the (1+2)-dimensional sine Gordon (2DsG) equation. We obtain some new interaction solutions among solitary waves and periodic waves, such as the kink-periodic wave interaction solution, two-p...

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Main Authors: Wei-Xiong Chen, Ji Lin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/645456
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author Wei-Xiong Chen
Ji Lin
author_facet Wei-Xiong Chen
Ji Lin
author_sort Wei-Xiong Chen
collection DOAJ
description We use a generalized tanh function expansion method and a direct method to study the analytical solutions of the (1+2)-dimensional sine Gordon (2DsG) equation. We obtain some new interaction solutions among solitary waves and periodic waves, such as the kink-periodic wave interaction solution, two-periodic solitoff solution, and two-toothed-solitoff solution. We also investigate the propagation properties of these solutions.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c77facb87aa54a9b8c72abf89ecc61cb2025-02-03T06:13:29ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/645456645456Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon EquationWei-Xiong Chen0Ji Lin1Department of Physics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua 321004, ChinaWe use a generalized tanh function expansion method and a direct method to study the analytical solutions of the (1+2)-dimensional sine Gordon (2DsG) equation. We obtain some new interaction solutions among solitary waves and periodic waves, such as the kink-periodic wave interaction solution, two-periodic solitoff solution, and two-toothed-solitoff solution. We also investigate the propagation properties of these solutions.http://dx.doi.org/10.1155/2014/645456
spellingShingle Wei-Xiong Chen
Ji Lin
Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
Abstract and Applied Analysis
title Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
title_full Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
title_fullStr Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
title_full_unstemmed Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
title_short Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation
title_sort some new exact solutions of 1 2 dimensional sine gordon equation
url http://dx.doi.org/10.1155/2014/645456
work_keys_str_mv AT weixiongchen somenewexactsolutionsof12dimensionalsinegordonequation
AT jilin somenewexactsolutionsof12dimensionalsinegordonequation