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Multiple Soliton Solutions for a New Generalization of the Associated Camassa-Holm Equation by Exp-Function Method

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  • Yao Long
  • Yinghui He
  • Shaolin Li

Abstract

The Exp-function method is generalized to construct N-soliton solutions of a new generalization of the associated Camassa-Holm equation. As a result, one-soliton, two-soliton, and three-soliton solutions are obtained, from which the uniform formulae of N-soliton solutions are derived. It is shown that the Exp-function method may provide us with a straightforward, effective, and alternative mathematical tool for generating N-soliton solutions of nonlinear evolution equations in mathematical physics.

Suggested Citation

  • Yao Long & Yinghui He & Shaolin Li, 2014. "Multiple Soliton Solutions for a New Generalization of the Associated Camassa-Holm Equation by Exp-Function Method," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlmpe:418793
    DOI: 10.1155/2014/418793
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    Cited by:

    1. Suganya, S. & Srividya, B. & Prabhu, A., 2024. "Existence of localized modes in a frustrated ferromagnetic spin chain with added biquadratic interaction," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Acharya, S.P. & Janaki, M.S., 2022. "Nonlinear dynamical modelling of high frequency electrostatic drift waves using fluid theoretical approach in magnetized plasma," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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