New analytic solutions of two-dimensional nonlocal nonlinear media

In this paper, by using the standard symmetry reduction method, the similarity equations of two-dimensional nonlocal nonlinear optical media are obtained. Painlevé analysis is then performed for the symmetry reduction system. Moreover, test solution method is applied to the nonlocal nonlinear equati...

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Bibliographic Details
Published in:Applied mathematics and computation 2017-07, Vol.305, p.53-61
Main Authors: Hu, Yahong, Zhu, Quanyong
Format: Article
Language:English
Subjects:
Exact analytical solutions
Nonlocal nonlinear optical media
Similarity reduction
Soliton solution
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Summary:In this paper, by using the standard symmetry reduction method, the similarity equations of two-dimensional nonlocal nonlinear optical media are obtained. Painlevé analysis is then performed for the symmetry reduction system. Moreover, test solution method is applied to the nonlocal nonlinear equation. These methods lead to some novel exact solutions of the nonlocal nonlinear optical media, including sech type soliton solutions, csch type divergent solutions, sn type period wave solutions and sn−1 type divergent solutions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2017.01.023