期刊
SUPERLATTICES AND MICROSTRUCTURES
卷 114, 期 -, 页码 53-61出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.spmi.2017.12.007
关键词
Extended nonlinear Schrodinger equation; Higher-order dispersion; Complex amplitude ansatz; Solitary wave
资金
- National Natural Science Foundation of China [11705130]
- Chutian Scholar Program of Hubei Government in China
- Department of Mathematics and Statistics at Tshwane University of Technology
- South African National Foundation [92052 IRF1202210126]
- Qatar National Research Fund (QNRF) [NPRP 8-028-1-001]
We present solitary wave solutions of an extended nonlinear Schrodinger equation with higher-order odd (third-order) and even (fourth-order) terms by using an ansatz method. The including high-order dispersion terms have significant physical applications in fiber optics, the Heisenberg spin chain, and ocean waves. Exact envelope solutions comprise bright, dark and W-shaped solitary waves, illustrating the potentially rich set of solitary wave solutions of the extended model. Furthermore, we investigate the properties of these solitary waves in nonlinear and dispersive media. Moreover, specific constraints on the system parameters for the existence of these structures are discussed exactly. The results show that the higher-order dispersion and nonlinear effects play a crucial role for the formation and properties of propagating waves. (C) 2017 Elsevier Ltd. All rights reserved.
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