Time-Periodic Solitons in the Damped-Driven Nonlinear Schr¨odinger Equation

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Abstract


We study localised attractors of the parametrically driven damped nonlinear SchrЁodinger equation. Time-periodic solitons of this equation are obtained as solutions of the boundaryvalue problem on a two-dimensional domain. We classify stability and bifurcations of periodic solitons and their complexes.

E V Zemlyanaya

Joint Institute for Nuclear Research

Email: elena@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

N V Alexeeva

University of Cape Town

Email: Nora.Alexeeva@uct.ac.za
Факультет математики; Кейптаунский Университет; University of Cape Town

T C van Heerden

University of Cape Town

Email: tvanheerden@gmail.com
Факультет математики; Кейптаунский Университет; University of Cape Town

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Copyright (c) 2010 Земляная Е.В., Алексеева Н.V., ван Херден Т.C.

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