Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime

•Different wave structures for abundant solutions to the NLSE with higher dimension are analytically and approximately investigated.•Performance was done using the strategy of the GREMM and the q-HATM approaches.•Physical explanations are discussed for the obtained solutions. The generalized Riccati...

Full description

Saved in:
Bibliographic Details
Published in:Journal of ocean engineering and science 2022-04, Vol.7 (2), p.143-154
Main Authors: Akinyemi, Lanre, Şenol, Mehmet, Osman, M.S.
Format: Article
Language:English
Subjects:
Generalized Riccati equation mapping method
Laplace transform
q-homotopy analysis method
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•Different wave structures for abundant solutions to the NLSE with higher dimension are analytically and approximately investigated.•Performance was done using the strategy of the GREMM and the q-HATM approaches.•Physical explanations are discussed for the obtained solutions. The generalized Riccati equation mapping method (GREMM) is used in this paper to obtain different types of soliton solutions for nonlinear Schrödinger equation with higher dimension that existed in the regimes of anomalous dispersion. Later, we use the q-homotopy analysis method combined with the Laplace transform (q-HATM) to obtain approximate solutions of the bright and dark optical solitons. The q-HATM illustrates the solutions as a rapid convergent series. In addition, to show the physical behavior of the solutions obtained by the proposed techniques, the graphical representation has been provided with some parameter values. The findings demonstrate that the proposed techniques are useful, efficient and reliable mathematical method for the extraction of soliton solutions.
ISSN:2468-0133
2468-0133
DOI:10.1016/j.joes.2021.07.006