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Exact Soliton Solutions For The Higher-Order Nonlinear Schrödinger Equation

Author

Listed:
  • BIAO LI

    (Department of Physics, Shanghai Jiao-Tong University, Shanghai 200030, P. R. China;
    Nonlinear Science Center, Ningbo University, Ningbo 315211, P. R. China;
    MM Key Laboratory, Chinese Academy of Sciences, Beijing 100080, P. R. China)

Abstract

Based on the complex envelope ansatz method, the projective Riccati equation method andq-deformed hyperbolic functions, a method is developed for constructing a series of exact analytical solutions for higher-order nonlinear Schrödinger (HNLS) equation, which describes propagation of femtosecond light pulse in optical fiber under certain parametric conditions. With the help of symbolic computation, six families of new solitary wave solutions are obtained. The solitary wave solutions obtained by Liet al.18are special cases of our solutions. The novel soliton solutions can describeW-shaped, bright and dark soliton properties in the same expression and their amplitude may approach nonzero when the time variable approaches infinity. Furthermore, the soliton propagation and solitons interaction scenario are discussed and simulated by computer.

Suggested Citation

  • Biao Li, 2005. "Exact Soliton Solutions For The Higher-Order Nonlinear Schrödinger Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(08), pages 1225-1237.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:08:n:s0129183105007832
    DOI: 10.1142/S0129183105007832
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