Novel optical solutions to the dispersive extended Schrödinger equation arise in nonlinear optics via two analytical methods

Abstract
The main goal of this paper is to study the higher-order dispersive extended nonlinear Schrödinger equation, which demonstrates the propagation of ultrashort pulses in optical communication networks. In this study, both the sinh-Gordon expansion method and the generalized exponential rational function method are used to ofer some novel optical solutions. These optical soliton solutions are dark soliton, bright soliton, singular, periodic, and dark-bright soliton solutions. The obtained optical soliton solutions are presented graphically in 2D and 3D to clarify the behavior of solutions more efectively. The constraint conditions are also used to verify the exitances of the new analytical solutions. Moreover, all solutions compared to solutions obtained previously are new, and all the new wave solutions have verifed Eq. (1) after we substituted them into the studied equation. In the future, these novel soliton solutions will be very helpful in developing fuid dynamics, biomedical issues, dynamics of adiabatic parameters, industrial research, and many other areas of science. To our acknowledgment, the presented optical solutions are novel, and also beforehand these methods have not been applied to this studied equation.

Author
Hajar F. Ismael

DOI
https://doi.org/10.1007/s11082-024-06675-2

Publisher
Optical and Quantum Electronics

ISSN
1572-817X

Publish Date: