Discrete soliton solutions of the fractional discrete coupled nonlinear Schrodinger equations: Three analytical approaches

被引:3
作者
Lu, Peng-Hong [1 ]
Wang, Yue-Yue [1 ]
Dai, Chao-Qing [1 ]
机构
[1] Zhejiang A&F Univ, Coll Sci, Hangzhou 311300, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
analytical solutions; fractional discrete coupled nonlinear Schrö dinger equations; fractional generalized Riccati method; fractional generalized tanh– sech function method; generalized Mittag– Leffler function method; TRAVELING-WAVE SOLUTIONS;
D O I
10.1002/mma.7473
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The fractional discrete coupled nonlinear Schrodinger equations are solved on account of the modified Riemann-Liouville fractional derivative and Mittag-Leffler function. By using the fractional generalized Riccati method, generalized Mittag-Leffler function method and fractional generalized tanh-sech function method, some new analytical discrete solutions constructed by generalized trigonometric and hyperbolic functions are obtained, including discrete fractional bright soliton, dark soliton, combined soliton, and periodic solutions. In order to illustrate the effect of fractional order parameter on dynamics of fractional discrete soliton, some results in this study are illustrated graphically. Results indicate that although the combined wave is made up of singular coth function, it does not exhibit the singular property in the discrete case. Moreover, two kinds of scalar soliton solutions are found. These results could be of great significance to further study complex nonlinear discrete physical phenomena.
引用
收藏
页码:11089 / 11101
页数:13
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