Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics

DOI10.1016/J.PHYSD.2007.09.026zbMath1167.35448OpenAlexW2068176034MaRDI QIDQ2482038

Panayotis G. Kevrekidis, Alan R. Champneys, Thomas Melvin, Jesús Cuevas

Publication date: 16 April 2008

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

Full work available at URL: https://idus.us.es/handle/11441/24821

zbMATH Keywords

stabilitytravelling wavesnumerical continuationpseudo-spectral methoddiscrete nonlinear Schrödinger equationdiscrete solitonssaturable nonlinearityphotorefractive crystalsvanishing PN barrier

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Second-order parabolic systems (35K40)

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