Back to Search Start Over

On solution of Schrödinger–Hirota equation with Kerr law via Lie symmetry reduction.

Authors :
Onder, Ismail
Secer, Aydin
Hashemi, Mir Sajjad
Ozisik, Muslum
Bayram, Mustafa
Source :
Nonlinear Dynamics; Oct2023, Vol. 111 Issue 20, p19315-19327, 13p
Publication Year :
2023

Abstract

In this study, we investigated Schrödinger–Hirota equation Kerr law in the presence of spatio-temporal dispersion which describes pulse propagation in optical fibers provoked by nonlinear effect and reduced to multi-plane dispersion. We used the Lie symmetry method to reduce the model into the nonlinear ordinary differential equations. Moreover, the unified Riccati equation expansion method was used to obtain optical soliton solutions and other soliton solutions of the model. We obtained dark, kink, singular, and periodic-singular soliton solutions. Obtained results were shown via 3D and contour graphs. Thus, the model was analyzed for the first time with the Lie symmetry method and UREEM. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0924090X
Volume :
111
Issue :
20
Database :
Complementary Index
Journal :
Nonlinear Dynamics
Publication Type :
Academic Journal
Accession number :
172893213
Full Text :
https://doi.org/10.1007/s11071-023-08879-9