|
This article is cited in 15 scientific papers (total in 15 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
|
|