Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: coding and method for computation

DOI10.3934/dcdsb.2017059zbMath1361.35161arXiv1609.00657OpenAlexW2515059493MaRDI QIDQ524077

Pavel P. Kizin, Georgy L. Alfimov, Dmitry A. Zezyulin

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00657

zbMATH Keywords

Gross-Pitaevskii equationcodingnonlinear modesgap solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Symbolic dynamics (37B10) Numerical problems in dynamical systems (65P99) Soliton solutions (35C08) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items

Stationary modes for vector nonlinear Schrödinger-type equations: a numerical procedure for complete search and its mathematical background ⋮ Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity ⋮ Supratransmission in discrete one-dimensional lattices with the cubic-quintic nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Stationary states for nonlinear Schrödinger equations with periodic potentials
• Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate
• On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation
• Oscillatory instabilities of gap solitons: A numerical study
• Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential
• Domain walls of single-component Bose--Einstein condensates in external potentials
• Nonlinear Waves in Integrable and Nonintegrable Systems

This page was built for publication: Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: coding and method for computation