Well-posedness and existence of bound states for a coupled Schroedinger-gKdV system

Well-posedness and existence of bound states for a coupled Schroedinger-gKdV system

We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schroedinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space [inline image], generalizing previous results...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 73; no. 8; pp. 2686 - 2698
Main Authors: Dias, Joao-Paulo, Figueira, Mario, Oliveira, Filipe
Format: Journal Article
Language:English
Published: 15-10-2010
Subjects:
Cauchy problem
Documents
Nonlinearity
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Summary:We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schroedinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space [inline image], generalizing previous results obtained in Tsutsumi (1993) [11], Corcho and Linares (2007) [13] and Dias et al. (submitted for publication) [14] for the nonlinear Schroedinger-KdV system.
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ISSN:0362-546X
DOI:10.1016/j.na.2010.06.049