Nonlinear Schrödinger equations with exceptional potentials

DOI10.1016/j.jde.2018.06.016zbMath1427.35257arXiv1707.00503OpenAlexW2963921499MaRDI QIDQ1671234

I. P. Naumkin

Publication date: 6 September 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00503

zbMATH Keywords

wave functionscubic nonlinear Schrödinger equationfactorization techniqueexceptional potentialperturbed linear Schrödinger operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Ginzburg-Landau equations (35Q56)

Related Items (15)

Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D ⋮ On traveling waves of the nonlinear Schrödinger equation escaping a potential well ⋮ Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\) ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ On the \(1d\) cubic NLS with a non-generic potential ⋮ The matrix nonlinear Schrödinger equation with a potential ⋮ Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line ⋮ Fractional nonlinear Schrödinger equation ⋮ Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Dissipative property for higher order nonlinear Schrödinger equation ⋮ Dispersive estimates for nonlinear Schrödinger equations with external potentials ⋮ Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential ⋮ Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators

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