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EXACT SOLITON SOLUTIONS FOR THE HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION

BIAO LI

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

Corresponding address: Department of Physics, Shanghai Jiao-Tong University, Shanghai 200030, P. R. China.

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https://doi.org/10.1142/S0129183105007832Cited by:13 (Source: Crossref)

Abstract

Based on the complex envelope ansatz method, the projective Riccati equation method and q-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 Li et al.¹⁸ are special cases of our solutions. The novel soliton solutions can describe W-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.

Keywords:

PACS: 05.45.Yv, 42.65.Tg, 02.30.Jr

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