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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2011 Volume 168, Number 1, Pages 4–12 (Mi tmf6659)
This article is cited in 2 papers

Breathers in a damped–driven nonlinear Schrödinger equation

N. V. Alekseevaa, E. V. Zemlyanayab

a Department of Mathematics, University of Cape Town, Cape Town, South Africa
b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: We construct time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation as solutions of a boundary value problem for the space-dependent Fourier coefficients.

Keywords: nonlinear Schrödinger equation, stability, soliton, damping, parametric driving, bifurcation.

DOI: 10.4213/tmf6659


 English version: Theoretical and Mathematical Physics, 2011, 168:1, 858–864

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© Steklov Math. Inst. of RAS, 2024