Stability of gap solitons in the presence of a weak nonlocality in periodic potentials

In this work, we study the stability and internal modes of one-dimensional gap solitons employing the modified nonlinear Schrödinger equation with a sinusoidal potential together with the presence of a weak nonlocality. Using an analytical theory, it is proved that two soliton families bifurcate out...

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Published inThe European physical journal. ST, Special topics Vol. 225; no. 6-7; pp. 1187 - 1197
Main Authors Mylonas, I.K., Rossides, A.K., Rothos, V.M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Springer Nature B.V
Subjects
Atomic
Bifurcation theory
Classical and Continuum Physics
Condensed Matter Physics
Defocusing
Materials Science
Mathematical Modeling of Complex Systems
Measurement Science and Instrumentation
Molecular
Nonlinearity
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Schrodinger equation
Solitary waves
Stability
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Summary:In this work, we study the stability and internal modes of one-dimensional gap solitons employing the modified nonlinear Schrödinger equation with a sinusoidal potential together with the presence of a weak nonlocality. Using an analytical theory, it is proved that two soliton families bifurcate out from every Bloch-band edge under self-focusing or self-defocusing nonlinearity, and one of these is always unstable. Also we study the oscillatory instabilities and internal modes of the modified nonlinear Schrödinger equation.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2016-02664-1