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Travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations

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Abstract

In this paper, we implement the exp-function method to obtain the exact travelling wave solutions of (N + 1)-dimensional nonlinear evolution equations. Four models, the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinhcosinh-Gordon equation, are used as vehicles to conduct the analysis. New travelling wave solutions are derived.

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Authors and Affiliations

  1. Department of Applied Mathematics, Kyung Hee University, Suwon, South Korea

    Jonu Lee

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    Rathinasamy Sakthivel

Authors
  1. Jonu Lee
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  2. Rathinasamy Sakthivel
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Correspondence to Rathinasamy Sakthivel.

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Lee, J., Sakthivel, R. Travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Pramana - J Phys 75, 565–578 (2010). https://doi.org/10.1007/s12043-010-0139-z

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  • DOI: https://doi.org/10.1007/s12043-010-0139-z

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