Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation

Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation

We used the complex method and the exp(-ϕ(z))-expansion method to find exact solutions of the (2+1)-dimensional mKdV equation. Through the maple software, we acquire some exact solutions. We have faith in that this method exhibited in this paper can be used to solve some nonlinear evolution equation...

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Main Authors: Yang Yang, Jian-ming Qi, Xue-hua Tang, Yong-yi Gu
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/3053275
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spelling doaj-2c0bcc594cec4c7caef7c98f787b7e092021-07-02T06:13:50ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/30532753053275Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV EquationYang Yang0Jian-ming Qi1Xue-hua Tang2Yong-yi Gu3Mechanics Institute, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Business, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Design and Art, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaWe used the complex method and the exp(-ϕ(z))-expansion method to find exact solutions of the (2+1)-dimensional mKdV equation. Through the maple software, we acquire some exact solutions. We have faith in that this method exhibited in this paper can be used to solve some nonlinear evolution equations in mathematical physics. Finally, we show some simulated pictures plotted by the maple software to illustrate our results.http://dx.doi.org/10.1155/2019/3053275
collection DOAJ
language English
format Article
sources DOAJ
author Yang Yang
Jian-ming Qi
Xue-hua Tang
Yong-yi Gu
spellingShingle Yang Yang
Jian-ming Qi
Xue-hua Tang
Yong-yi Gu
Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
Advances in Mathematical Physics
author_facet Yang Yang
Jian-ming Qi
Xue-hua Tang
Yong-yi Gu
author_sort Yang Yang
title Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
title_short Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
title_full Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
title_fullStr Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
title_full_unstemmed Further Results about Traveling Wave Exact Solutions of the (2+1)-Dimensional Modified KdV Equation
title_sort further results about traveling wave exact solutions of the (2+1)-dimensional modified kdv equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2019-01-01
description We used the complex method and the exp(-ϕ(z))-expansion method to find exact solutions of the (2+1)-dimensional mKdV equation. Through the maple software, we acquire some exact solutions. We have faith in that this method exhibited in this paper can be used to solve some nonlinear evolution equations in mathematical physics. Finally, we show some simulated pictures plotted by the maple software to illustrate our results.
url http://dx.doi.org/10.1155/2019/3053275
work_keys_str_mv AT yangyang furtherresultsabouttravelingwaveexactsolutionsofthe21dimensionalmodifiedkdvequation
AT jianmingqi furtherresultsabouttravelingwaveexactsolutionsofthe21dimensionalmodifiedkdvequation
AT xuehuatang furtherresultsabouttravelingwaveexactsolutionsofthe21dimensionalmodifiedkdvequation
AT yongyigu furtherresultsabouttravelingwaveexactsolutionsofthe21dimensionalmodifiedkdvequation
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