We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrodinger-gKdV systems. In particular, we obtain the existence of strong global solutions for initial data in the energy space H-1(R) x H-1(R), generalizing previous results obtained in Tsutsumi (1993) , Corcho and Linares (2007)  and Dias et al. (submitted for publication)  for the nonlinear Schrodinger-KdV system. (C) 2010 Elsevier Ltd. All rights reserved.
|Journal||Nonlinear Analysis-Theory Methods & Applications|
|Publication status||Published - 1 Jan 2010|