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Exact Solutions of Travelling Wave Model via Dynamical System Method

Author

Listed:
  • Heng Wang
  • Longwei Chen
  • Hongjiang Liu

Abstract

By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger‐Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave solutions and periodic travelling wave solutions. The solitary wave solutions and periodic travelling wave solutions are expressed by the hyperbolic functions and the Jacobian elliptic functions, respectively. The results show that the presented findings improve the related previous conclusions. Furthermore, the numerical simulations of the solitary wave solutions and the periodic travelling wave solutions are given to show the correctness of our results.

Suggested Citation

  • Heng Wang & Longwei Chen & Hongjiang Liu, 2016. "Exact Solutions of Travelling Wave Model via Dynamical System Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:9290734
    DOI: 10.1155/2016/9290734
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    References listed on IDEAS

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    1. Xin Huang, 2013. "The Investigation of Solutions to the Coupled Schrödinger‐Boussinesq Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Xin Huang, 2013. "The Investigation of Solutions to the Coupled Schrödinger-Boussinesq Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, June.
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