Stability analysis for extended models of gap solitary waves

Schoellmann, J. and Mayer, A. P. (2000) Stability analysis for extended models of gap solitary waves. PHYSICAL REVIEW E, 61 (5). pp. 5830-5838. ISSN 1063-651X

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Abstract

A numerical linear stability analysis has been carried out for stationary spatially localized solutions of several systems of coupled nonlinear partial differential equations (PDE's) with two and more complex variables. These coupled PDE's have recently been discussed in the literature, mostly in the context of physical systems with a frequency gap in the dispersion relation of their linear excitations, and they are extensions of the Mills-Trullinger gap soliton model. Translational and oscillatory instabilities are identified, and their associated growth rates are computed as functions of certain parameters characterizing the solitary waves.

Item Type: Article
Uncontrolled Keywords: NONLINEAR PERIODIC STRUCTURES; 2ND-HARMONIC GENERATION; QUADRATIC NONLINEARITY; SOLITONS; LATTICES; MEDIA;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 May 2022 10:31
Last Modified: 10 May 2022 10:31
URI: https://pred.uni-regensburg.de/id/eprint/42549

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