Peakon,pseudo‐peakon,cuspon and smooth solitons for a nonlocal Kerr‐like media |
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| Authors: | Haixia Zhao Shengqiang Tang |
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| Affiliation: | School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, China |
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| Abstract: | This paper presents all possible exact explicit peakon, pseudo‐peakon, cuspon and smooth solitary wave solutions for a nonlocal Kerr‐like media. We apply the method of dynamical systems to analyze the dynamical behavior of the traveling wave solutions and their bifurcations depending on the parameters of the system. We present peakon, pseudo‐peakon, cuspon soliton solution in an explicit form. We also have obtained smooth soliton. Mathematical analysis and numeric graphs are provided for those soliton solutions of the nonlocal Kerr‐like media. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | peakon pseudo‐peakon cuspon soliton smooth soliton bifurcation theory nonlocal Kerr‐like media subclass 35C08 35Q53 |
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