Self-similarity and asymptotic stability for coupled nonlinear Schrodinger equations in high dimensions

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)This paper is concerned with systems of coupled Schrodinger equations with polynomial nonlinearities and dimension n >= 1. We show the existence of global self-similar solutions and prove that they are asymptotically stable in a framework based on weak-La spaces, whose elements have local finite L-2-mass. The radial symmetry of the solutions is also addressed. (C) 2011 Elsevier B.V. All rights reserved.2415534542Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP