Exp-Function Method for a Generalized MKdV Equation
Under investigation in this paper is a generalized MKdV equation, which describes the propagation of shallow water in fluid mechanics. In this paper, we have derived the exact solutions for the generalized MKdV equation including the bright soliton, dark soliton, two-peak bright soliton, two-peak da...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/153974 |
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| _version_ | 1832552095526420480 |
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| author | Yuzhen Chai Tingting Jia Huiqin Hao Jianwen Zhang |
| author_facet | Yuzhen Chai Tingting Jia Huiqin Hao Jianwen Zhang |
| author_sort | Yuzhen Chai |
| collection | DOAJ |
| description | Under investigation in this paper is a generalized MKdV equation, which describes the propagation of shallow water in fluid mechanics. In this paper, we have derived the exact solutions for the generalized MKdV equation including the bright soliton, dark soliton, two-peak bright soliton, two-peak dark soliton, shock soliton and periodic wave solution via Exp-function method. By figures and symbolic computations, we have discussed the propagation characteristics of those solitons under different values of those coefficients in the generalized MKdV equation. The method constructing soliton solutions in this paper may be useful for the investigations on the other nonlinear mathematical physics model and the conclusions of this paper can give theory support for the study of dynamic features of models in the shallow water. |
| format | Article |
| id | doaj-art-bf2471157ae64312bcc86b97ff6e106c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bf2471157ae64312bcc86b97ff6e106c2025-02-03T05:59:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/153974153974Exp-Function Method for a Generalized MKdV EquationYuzhen Chai0Tingting Jia1Huiqin Hao2Jianwen Zhang3School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaUnder investigation in this paper is a generalized MKdV equation, which describes the propagation of shallow water in fluid mechanics. In this paper, we have derived the exact solutions for the generalized MKdV equation including the bright soliton, dark soliton, two-peak bright soliton, two-peak dark soliton, shock soliton and periodic wave solution via Exp-function method. By figures and symbolic computations, we have discussed the propagation characteristics of those solitons under different values of those coefficients in the generalized MKdV equation. The method constructing soliton solutions in this paper may be useful for the investigations on the other nonlinear mathematical physics model and the conclusions of this paper can give theory support for the study of dynamic features of models in the shallow water.http://dx.doi.org/10.1155/2014/153974 |
| spellingShingle | Yuzhen Chai Tingting Jia Huiqin Hao Jianwen Zhang Exp-Function Method for a Generalized MKdV Equation Discrete Dynamics in Nature and Society |
| title | Exp-Function Method for a Generalized MKdV Equation |
| title_full | Exp-Function Method for a Generalized MKdV Equation |
| title_fullStr | Exp-Function Method for a Generalized MKdV Equation |
| title_full_unstemmed | Exp-Function Method for a Generalized MKdV Equation |
| title_short | Exp-Function Method for a Generalized MKdV Equation |
| title_sort | exp function method for a generalized mkdv equation |
| url | http://dx.doi.org/10.1155/2014/153974 |
| work_keys_str_mv | AT yuzhenchai expfunctionmethodforageneralizedmkdvequation AT tingtingjia expfunctionmethodforageneralizedmkdvequation AT huiqinhao expfunctionmethodforageneralizedmkdvequation AT jianwenzhang expfunctionmethodforageneralizedmkdvequation |