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

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Abstract

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.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 10772110), the Natural Science Foundation of Zhejiang Province (Grant No. Y606049), and the Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province.

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Authors and Affiliations

  1. College of Computer and Information Engineering, Zhejiang Lishui University, Lishui, 323000, China

    Xiao-Fei Wu & Guo-Sheng Hua

  2. College of Mathematics and Physics, Zhejiang Lishui University, Lishui, 323000, China

    Zheng-Yi Ma

  3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Zheng-Yi Ma

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  1. Xiao-Fei Wu
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  2. Guo-Sheng Hua
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  3. Zheng-Yi Ma
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Correspondence to Xiao-Fei Wu.

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Wu, XF., Hua, GS. & Ma, ZY. Evolution of optical solitary waves in a generalized nonlinear Schrödinger equation with variable coefficients. Nonlinear Dyn 70, 2259–2267 (2012). https://doi.org/10.1007/s11071-012-0616-7

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  • DOI: https://doi.org/10.1007/s11071-012-0616-7

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