Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential

DOI10.1016/j.physd.2013.03.009zbMath1284.35389arXiv1211.0754OpenAlexW1966395005MaRDI QIDQ2442072

A. I. Avramenko, Georgy L. Alfimov

Publication date: 31 March 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0754

zbMATH Keywords

nonlinear Schrödinger equationGross-Pitaevskii equationcodingnonlinear states

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Coding of Nonlinear States for NLS-Type Equations with Periodic Potential ⋮ Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate ⋮ Stationary modes for vector nonlinear Schrödinger-type equations: a numerical procedure for complete search and its mathematical background ⋮ Stable dipole solitons and soliton complexes in the nonlinear Schrödinger equation with periodically modulated nonlinearity ⋮ Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential ⋮ On solutions of Cauchy problem for equation $u_{xx}+Q(x)u-P(u)=0$ without singularities in a given interval ⋮ Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity ⋮ Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: coding and method for computation ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

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