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Exact analytic solitary wave solutions for the RKL model

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  • Triki, Houria
  • Taha, Thiab R.

Abstract

Interest in finding exact solitary wave solutions of nonlinear evolution equations by means of different methods has grown steadily in recent years. These exact solutions are important to understand the mechanism of the complicated nonlinear physical phenomena. By use of the Jacobi elliptic function method, we find the exact analytic solitary wave solutions for the RKL model with cubic-quintic non-Kerr terms, describing the propagation of extremely short pulses in optical fibers. These new solutions may be useful for describing the propagation of optical pulses in non-Kerr media.

Suggested Citation

  • Triki, Houria & Taha, Thiab R., 2009. "Exact analytic solitary wave solutions for the RKL model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 849-854.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:849-854
    DOI: 10.1016/j.matcom.2009.08.031
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    References listed on IDEAS

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    1. Zhu, Shun-dong, 2007. "Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1608-1612.
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    Cited by:

    1. Wang, Pan & Tian, Bo & Sun, Kun & Qi, Feng-Hua, 2015. "Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus–Kundu equation with the cubic–quintic nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 233-242.
    2. Al-Ghafri, K.S. & Krishnan, E.V., 2021. "Comment on: “Exact analytic solitary wave solutions for the RKL model” [Math. Comput. Simulation 80 (4) (2009) 849–854]," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 113-116.

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