Evolution of optical solitary waves in a generalized nonlinear Schrödinger equation with variable coefficients

We derive two types of exact analytical solutions in terms of rational-like functions for a generalized nonlinear Schrödinger equation with variable coefficients via the methods of similarity transformation and direct ansatz. Based on these solutions, several novel optical solitary waves are constru...

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Bibliographic Details
Published inNonlinear dynamics Vol. 70; no. 3; pp. 2259 - 2267
Main Authors Wu, Xiao-Fei, Hua, Guo-Sheng, Ma, Zheng-Yi
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.11.2012
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Dynamical Systems
Engineering
Evolution
Exact solutions
Mechanical Engineering
Original Paper
Schrodinger equation
Solitary waves
Vibration
Rational-like solutions
Nonlinear Schrödinger equation
Variable coefficients
Similarity transformation
Optical solitary waves
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Summary:We derive two types of exact analytical solutions in terms of rational-like functions for a generalized nonlinear Schrödinger equation with variable coefficients via the methods of similarity transformation and direct ansatz. Based on these solutions, several novel optical solitary waves are constructed by selecting appropriate functions, and the main evolution features of these waves are shown by some interesting figures with computer simulation.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-012-0616-7