On a nonlinear Schrödinger equation for nucleons in one space dimension

DOI10.1051/M2AN/2020086zbMath1476.35241arXiv2002.03641OpenAlexW3132719828MaRDI QIDQ5006312

Christian Klein, Simona Rota Nodari

Publication date: 13 August 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03641

zbMATH Keywords

nonlinear Schrödinger equationsground statesnumerical study

Mathematics Subject Classification ID

Nuclear physics (81V35) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton solutions (35C08)

Uses Software

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• fminsearch

Cites Work

• Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation
• Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Symmetric excited states for a mean-field model for a nucleon
• Ground states for a stationary mean-field model for a nucleon
• The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Spectral Methods in MATLAB
• SYMMETRIC GROUND STATES FOR A STATIONARY RELATIVISTIC MEAN-FIELD MODEL FOR NUCLEONS IN THE NON-RELATIVISTIC LIMIT
• On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

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