Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations
In this paper, we implement the tanh-coth function method to construct the travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Four models, namely the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinh-cosinh-Gordon equation, are used as vehicles to conduct the analysis. These equations play a very important role in mathematical physics and engineering sciences. The implemented algorithm is quite efficient and is practically well suited for these problems. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated and tedious calculations. Mathematical subject classification: 35K58, 35C06, 35A25.
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Sociedade Brasileira de Matemática Aplicada e Computacional
2012
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oai:scielo:S1807-030220120002000012012-12-05Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equationsLee,JonuSakthivel,Rathinasamy Nonlinear evolution equations Travelling wave solutions tanh-coth function method In this paper, we implement the tanh-coth function method to construct the travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Four models, namely the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinh-cosinh-Gordon equation, are used as vehicles to conduct the analysis. These equations play a very important role in mathematical physics and engineering sciences. The implemented algorithm is quite efficient and is practically well suited for these problems. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated and tedious calculations. Mathematical subject classification: 35K58, 35C06, 35A25.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e ComputacionalComputational & Applied Mathematics v.31 n.2 20122012-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200001en10.1590/S1807-03022012000200001 |
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Lee,Jonu Sakthivel,Rathinasamy |
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Lee,Jonu Sakthivel,Rathinasamy Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
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Lee,Jonu Sakthivel,Rathinasamy |
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Lee,Jonu |
title |
Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
title_short |
Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
title_full |
Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
title_fullStr |
Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
title_full_unstemmed |
Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations |
title_sort |
exact travelling wave solutions for some nonlinear (n+1)-dimensional evolution equations |
description |
In this paper, we implement the tanh-coth function method to construct the travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Four models, namely the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinh-cosinh-Gordon equation, are used as vehicles to conduct the analysis. These equations play a very important role in mathematical physics and engineering sciences. The implemented algorithm is quite efficient and is practically well suited for these problems. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated and tedious calculations. Mathematical subject classification: 35K58, 35C06, 35A25. |
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Sociedade Brasileira de Matemática Aplicada e Computacional |
publishDate |
2012 |
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http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200001 |
work_keys_str_mv |
AT leejonu exacttravellingwavesolutionsforsomenonlinearn1dimensionalevolutionequations AT sakthivelrathinasamy exacttravellingwavesolutionsforsomenonlinearn1dimensionalevolutionequations |
_version_ |
1756431741709451264 |