TY - JOUR

T1 - A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation

AU - Bergamin, J. M.

AU - Kamvissis, S.

AU - Bountis, T.

N1 - Funding Information:
We thank Fei Ran Tian for some clarifying comments concerning the paper [6] . We also thank Dimitri Frantzeskakis for some elucidating discussions concerning applications of the Nonlinear Schrödinger Equation to nonlinear optics. This study was partially supported by the Greek General Secreteriat of Research and Technology on project number 97EL16 and the Carathéodory program of the University of Patras. Part of this work was done while J.M.B. was a guest at the Marie Curie Training site of the Université Libre de Bruxelles.

PY - 2002/11/11

Y1 - 2002/11/11

N2 - In this Letter we undertake a numerical study of the problem of small perturbations of the so-called semiclassical limit of the focusing nonlinear Schrödinger (NLS) equation in 1 + 1 dimensions. These perturbations represent the effects of damping and forcing and render the NLS equation nonintegrable. Depending on the ratio of the two parameters associated with these effects a rich variety of phenomena are observed, ranging from stationary and traveling solitons to chaotic spatio-temporal oscillations.

AB - In this Letter we undertake a numerical study of the problem of small perturbations of the so-called semiclassical limit of the focusing nonlinear Schrödinger (NLS) equation in 1 + 1 dimensions. These perturbations represent the effects of damping and forcing and render the NLS equation nonintegrable. Depending on the ratio of the two parameters associated with these effects a rich variety of phenomena are observed, ranging from stationary and traveling solitons to chaotic spatio-temporal oscillations.

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U2 - 10.1016/S0375-9601(02)01260-4

DO - 10.1016/S0375-9601(02)01260-4

M3 - Article

AN - SCOPUS:0037064559

VL - 304

SP - 85

EP - 94

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3-4

ER -