| Autor: |
Thilagarajah Mathanaranjan |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Results in Physics, Vol 22, Iss , Pp 103870- (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2211-3797 |
| DOI: |
10.1016/j.rinp.2021.103870 |
| Popis: |
In this study, the (2+1)-dimensional nonlinear Schrödinger equation with fractional-order derivative in both time and space is considered within the modified Riemann–Liouville derivatives. This fractional-order equation is newly derived by using the fractional variational principle and the semi-inverse method. By introducing the fractional complex transform, the (G′∕G)-expansion method, the tanh–coth method, and the modified simple equation method are used to obtain the explicit analytical solutions of this equation. As a result, optical singular and dark soliton solutions are obtained. The behaviours of the soliton solutions are expressed by 2D and 3D graphs. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
