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Time-Periodic Solitons in the Damped-Driven Nonlinear Schr¨odinger Equation
- Authors: Zemlyanaya EV1, Alexeeva NV2, van Heerden TC2
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Affiliations:
- Joint Institute for Nuclear Research
- University of Cape Town
- Issue: No 3.2 (2010)
- Pages: 136-142
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8521
- ID: 8521
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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.
About the authors
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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