EXACT SOLITON SOLUTIONS FOR THE HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION

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 li...

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Bibliographic Details
Published inInternational journal of modern physics. C, Computational physics, physical computation Vol. 16; no. 8; pp. 1225 - 1237
Main Author LI, BIAO
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.08.2005
Subjects
soliton solution
symbolic computation
Higher-order nonlinear Schrödinger equation
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ISSN0129-1831
1793-6586
DOI10.1142/S0129183105007832

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Summary: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.
ISSN:0129-1831
1793-6586
DOI:10.1142/S0129183105007832