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This article is cited in 2 scientific papers (total 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.
Citation:
N. V. Alekseeva, E. V. Zemlyanaya, “Breathers in a damped–driven nonlinear Schrödinger equation”, TMF, 168:1 (2011), 4–12; Theoret. and Math. Phys., 168:1 (2011), 858–864
Linking options:
https://www.mathnet.ru/eng/tmf6659https://doi.org/10.4213/tmf6659 https://www.mathnet.ru/eng/tmf/v168/i1/p4
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