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 in | The European physical journal. ST, Special topics Vol. 225; no. 6-7; pp. 1187 - 1197 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2016
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1951-6355 1951-6401 |
DOI: | 10.1140/epjst/e2016-02664-1 |