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Phys. Rev. Lett. 83, 1715–1718 (1999)

Extended Parametric Resonances in Nonlinear Schrödinger Systems

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Juan J. García-Ripoll and Víctor M. Pérez-García
Departamento de Matemáticas, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Castilla–La Mancha, 13071 Ciudad Real, Spain

Pedro Torres
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Received 15 March 1999; published in the issue dated 30 August 1999

We study an example of exact parametric resonance in an extended system ruled by nonlinear partial differential equations of nonlinear Schrödinger type. It is also conjectured how related models not exactly solvable should behave in the same way. The results have applicability in recent experiments in Bose-Einstein condensation and to classical problems in nonlinear optics.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.1715
DOI:
10.1103/PhysRevLett.83.1715
PACS:
05.45.Yv, 03.75.Fi, 42.65.Tg