Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation

DOI10.1016/J.JMAA.2013.05.028zbMath1315.34097arXiv1202.3588OpenAlexW2963239876MaRDI QIDQ2257676

Tomáš Dohnal, Kaori Nagatou, Wolfgang Reichel, Michael Plum

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3588

zbMATH Keywords

interfacenonlinear Schrödinger equationvariational methodsground stateperiodic materialsurface gap solitonverified numerical enclosures

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Waves and radiation in optics and electromagnetic theory (78A40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (1)

An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential

Uses Software

• INTLAB

Cites Work

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• Surface gap soliton ground states for the nonlinear Schrödinger equation
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• Families of Surface Gap Solitons and Their Stability via the Numerical Evans Function Method
• Surface Gap Solitons at a Nonlinearity Interface
• Validated Computations for Fundamental Solutions of Linear Ordinary Differential Equations

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