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|Type:||Artigo de periódico|
|Title:||Periodic Pulses Of Coupled Nonlinear Schrödinger Equations In Optics|
|Abstract:||A system of coupled nonlinear Schrödinger 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 Schrödinger equation by Kenig, Ponce and Vega are established. Indiana University Mathematics Journal ©.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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