Extended hyperbola function method and its application to nonlinear equations

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Abstract

An extended hyperbola function method is proposed to construct exact solitary wave solutions to nonlinear wave equation based upon a coupled Riccati equation. It is shown that more new solitary wave solutions can be found by this new method, which include kink-shaped soliton solutions, bell-shaped soliton solutions and new solitary wave. The new method can be applied to other nonlinear equations in mathematical physics.

Original languageEnglish
Pages (from-to)801-804
Number of pages4
JournalCommunications in Theoretical Physics
Volume41
Issue number6
DOIs
StatePublished - 15 Jun 2004
Externally publishedYes

Keywords

  • Exact solitary wave solution
  • Hyperbola function method
  • Nonlinear wave equations

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