Open AccessNovel solitary wave solutions in parabolic law medium with weak non-local non-linearity
Author(s) -
Mostafa M. A. Khater,
Raghda A. M. Attia,
S. K. Elagan,
M.R. Alharthi
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2239k
Subject(s) - linearity , dimensionless quantity , dispersion (optics) , physics , mathematical analysis , parabolic partial differential equation , schrödinger equation , classical mechanics , mathematics , partial differential equation , optics , mechanics , quantum mechanics
In this paper, the auxiliary equation method is employed to construct novel solitary wave solutions of the dimensionless form of the non-linear Schrodinger equation with parabolic law of non-linearity in the presence of non-linear dispersion. The solutions are represented through various techniques to demonstrate the dynamical and physical behavior of the investigated models. All solutions are checked their accuracy by putting them back into the original model?s equation by MATHEMATICA 12.