Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898612 | Physica D: Nonlinear Phenomena | 2012 | 9 Pages |
Abstract
This paper is concerned with systems of coupled Schrödinger equations with polynomial nonlinearities and dimension n≥1n≥1. We show the existence of global self-similar solutions and prove that they are asymptotically stable in a framework based on weak-LpLp spaces, whose elements have local finite L2L2-mass. The radial symmetry of the solutions is also addressed.
► We study systems of coupled Schrödinger equations with polynomial nonlinearities. ► We show the existence of global self-similar solutions. ► These solutions are asymptotically stable in a framework based on weak-LpLp spaces. ► Our results cover domain dimensions n≥1n≥1. ► The radial symmetry of the solutions is analyzed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lucas C.F. Ferreira, Elder J. Villamizar-Roa,