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The tanh method: A tool for solving some mathematical models

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  • Zarea, Sana’a A.

Abstract

The tanh (or hyperbolic tangent) method was used to find travelling wave solutions for a model that combines Schrödinger and two types of Korteweg–de Vries equations (a coupled set of (1+1) dimensional). Various travelling wave solutions were obtained, the validity of these solutions was tested numerically by a mean of residual. Finally, some numerical results were given.

Suggested Citation

  • Zarea, Sana’a A., 2009. "The tanh method: A tool for solving some mathematical models," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 979-988.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:979-988
    DOI: 10.1016/j.chaos.2008.04.027
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    References listed on IDEAS

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    1. Hereman, Willy & Nuseir, Ameina, 1997. "Symbolic methods to construct exact solutions of nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 13-27.
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