E. V. Zemlyanaya, N. V. Alekseeva, “Oscillating solitons of the driven, damped nonlinear Schrödinger equation”, TMF, 2009, Volume 159, Number 3,Pages <nobr>536

This article is cited in 13 papers

Oscillating solitons of the driven, damped nonlinear Schrödinger equation

E. V. Zemlyanaya^a, N. V. Alekseeva^b

^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.

DOI: 10.4213/tmf6371