Perturbation theory for nonlinear Schrödinger equations

DOI10.1088/1361-6544/acfdeczbMath1528.35169arXiv2206.09826OpenAlexW4387501573MaRDI QIDQ6089733

Andrea Sacchetti

Publication date: 15 December 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09826

zbMATH Keywords

perturbation theorynonlinear Schrödinger equationRayleigh-Schrödinger power series

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Cites Work

• Unnamed Item
• Unnamed Item
• Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
• On the bound states of the nonlinear Schrödinger equation with a linear potential
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Semiclassical states of nonlinear Schrödinger equations
• A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
• On concentration of positive bound states of nonlinear Schrödinger equations
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Spectral splitting method for nonlinear Schrödinger equations with quadratic potential
• Stationary states for non linear one-dimensional Schrödinger equations with singular potential
• Multichannel nonlinear scattering for nonintegrable equations
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Perturbation theory for the nonlinear Schrödinger equation with a random potential
• Linearized instability for nonlinear schrödinger and klein-gordon equations
• ON THE PERTURBATION METHODS FOR SOME NONLINEAR QUANTUM CHEMISTRY MODELS
• Symmetry breaking regime in the nonlinear Hartree equation
• On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations
• SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS
• Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation

This page was built for publication: Perturbation theory for nonlinear Schrödinger equations