Artificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness results-Reference-Cited by-同舟云学术

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Artificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness results

Published:2018-01-30 Issue:1 Volume:2018 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Abounouh Mostafa,Al Moatassime Hassan,Chrifi Abderrazak

Funder

Centre National pour la Recherche Scientifique et Technique

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/article/10.1186/s13661-018-0935-9/fulltext.html

Reference30 articles.

1. Pitaevskiĭ, L.P.: Vortex lines in an imperfect Bose gas. Sov. Phys. JETP 13, 451–454 (1961)

2. Gross, E.P.: Structure of a quantized vortex in boson systems. Nuovo Cimento 20, 454–477 (1961)

3. Holmer, J., Zworski, M.: Slow soliton interaction with delta impurities. J. Mod. Dyn. 1, 689–718 (2007)

4. Goodman, R.H., Holmes, P.J., Weinstein, M.I.: Strong NLS soliton–defect interactions. Physica D 192, 215–248 (2004)

5. Fu, Y., Rădulescu, V.D., Zhang, B.: Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations. Comput. Math. Appl. 70(4), 691–704 (2015)

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1. Numerical study of the one-dimensional damped and forced Dirac nonlinear Schrödinger equation with artificial boundary conditions;Discrete and Continuous Dynamical Systems - S;2023

2. Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation;Moroccan Journal of Pure and Applied Analysis;2022-05-01

3. Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line;Discrete & Continuous Dynamical Systems - S;2022

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