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Exact solutions to two higher order nonlinear Schrödinger equations

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  • Xu, Li-Ping
  • Zhang, Jin-Liang

Abstract

Using the homogeneous balance principle and F-expansion method, the exact solutions to two higher order nonlinear Schrödinger equations which describe the propagation of femtosecond pulses in nonlinear fibres are obtained with the aid of a set of subsidiary higher order ordinary differential equations (sub-equations for short).

Suggested Citation

  • Xu, Li-Ping & Zhang, Jin-Liang, 2007. "Exact solutions to two higher order nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 937-942.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:937-942
    DOI: 10.1016/j.chaos.2005.10.063
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    Cited by:

    1. Triki, Houria & Taha, Thiab R. & Wazwaz, Abdul-Majid, 2010. "Solitary wave solutions for a generalized KdV–mKdV equation with variable coefficients," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1867-1873.
    2. Triki, Houria & Taha, Thiab R., 2012. "Solitary wave solutions for a higher order nonlinear Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1333-1340.
    3. Öziş, Turgut & Yıldırım, Ahmet, 2008. "Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 209-212.

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