Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE). More precisely, we will treat in a first time the well-posedness of GPE model with a degeneracy occurring i...

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Bibliographic Details
Main Authors: Alahyane Mohamed, Chrifi Abderrazak, Echarroudi Younes
Format: Article
Language:English
Published: Sciendo 2022-05-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
cubic schrödinger equation
time-dependent schrödinger equation
interior degeneracy
cranknicolson method
galerkin method
35k65
35q40
35q41
35j10
65p40
Online Access:https://doi.org/10.2478/mjpaa-2022-0018

Internet

https://doi.org/10.2478/mjpaa-2022-0018

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