On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials

DOI10.1111/SAPM.12432arXiv2104.11920OpenAlexW3196015242MaRDI QIDQ6085644

Dmitry A. Zezyulin, Unnamed Author, Georgy L. Alfimov

Publication date: 12 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11920

zbMATH Keywords

dissipationsolitary waveabsorptionnonlinear Schrödingerlocalizedsoliton family

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Nonlinear modes (70K75) Soliton solutions (35C08) Associative rings of fractions and localizations (16S85) Geometric aspects of numerical algebraic geometry (14Q65)

Related Items (2)

A study of a mathematical model with a movable singular point in a fourth-order nonlinear differential equation ⋮ Fractional-order effect on soliton wave conversion and stability for the two-Lévy-index fractional nonlinear Schrödinger equation with PT-symmetric potential

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