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This article is cited in 13 scientific papers (total in 13 papers)
Oscillating solitons of the driven, damped nonlinear Schrödinger equation
E. V. Zemlyanayaa, N. V. Alekseevab a Joint Institute for Nuclear Research
b University of Cape Town
Abstract:
We obtain time-periodic solitons of the parametrically driven, damped nonlinear Schrödinger equation as solutions of the boundary value problem on a two-dimensional domain. We classify the stability and bifurcations of singly and doubly periodic solutions.
Keywords:
nonlinear Schrödinger equation, parametric driving, stability, Floquet multiplier, bifurcation of doubled period.
Citation:
E. V. Zemlyanaya, N. V. Alekseeva, “Oscillating solitons of the driven, damped nonlinear Schrödinger equation”, TMF, 159:3 (2009), 536–544; Theoret. and Math. Phys., 159:3 (2009), 870–876
Linking options:
https://www.mathnet.ru/eng/tmf6371https://doi.org/10.4213/tmf6371 https://www.mathnet.ru/eng/tmf/v159/i3/p536
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Abstract page: | 633 | Full-text PDF : | 245 | References: | 38 | First page: | 27 |
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