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Type: Artigo de periódico
Title: Periodic pulses of coupled nonlinear Schrodinger equations in optics
Author: Pava, JA
Linares, F
Abstract: A system of coupled nonlinear Schrodinger equations arising in nonlinear optics is considered. The existence of periodic pulses as well as the stability and instability of such solutions are studied. It is shown the existence of a smooth curve of periodic pulses that are of cnoidal type. The Grillakis, Shatah and Strauss theory is set forward to prove the stability results. Regarding instability a general criteria introduced by Grillakis and Jones is used. The well-posedness of the periodic boundary value problem is also studied. Results in the same spirit of the ones obtained for single quadratic semilinear Schrodinger equation by Kenig, Ponce and Vega are established.
Subject: dispersive equations
NLS equation
periodic travelling waves
cnoidal waves
nonlinear stability
Country: EUA
Editor: Indiana Univ Math Journal
Citation: Indiana University Mathematics Journal. Indiana Univ Math Journal, v. 56, n. 2, n. 847, n. 877, 2007.
Rights: aberto
Identifier DOI: 10.1512/iumj.2007.56.2884
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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