期刊
OPTIK
卷 131, 期 -, 页码 1044-1062出版社
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.11.120
关键词
(G '/G)-expansion method; Extended auxiliary equation method; Nonlinear Schrodinger equations; Exact solutions; Solitary wave solutions; Jacobi elliptic function solutions; Non-integer balance numbers
类别
Two mathematical methods, via the (G'/G)-expansion niethod and extended auxiliary equation method are applied in this article to find many exact solutions with parameters of four higher-order nonlinear Schrodinger equations whose balance numbers are not positive integers, namely, the nonlinear Schrodinger equation with dual power-law nonlinearity, the higher-order dispersive nonlinear Schrodinger equation with both fourth-order dispersion effects and a quintic nonlinearity, the resonant nonlinear Schrodinger equation and the generalized higher-order nonlinear Schrodinger equation. When the parameters take up special values, the solitary and singular solitary wave solutions of these nonlinear Schrodinger equations are given. The used methods in this article present a wider applicability for handling nonlinear wave equations. Comparing our new results and the well-known results are obtained. Comparing the results resulting from the two methods with each others are also given. (C) 2016 Published by Elsevier GmbH.
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