Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7939058 | Superlattices and Microstructures | 2018 | 17 Pages |
Abstract
We present solitary wave solutions of an extended nonlinear Schrödinger 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.
Keywords
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Issam Bendahmane, Houria Triki, Anjan Biswas, Ali Saleh Alshomrani, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic,