A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations
Journal
Journal of Computational Physics
Journal Volume
228
Journal Issue
21
Pages
7941-7956
Date Issued
2009
Author(s)
Abstract
We aim at developing methods to track minimal energy solutions of time-independent m-component coupled discrete nonlinear Schrödinger (DNLS) equations. We first propose a method to find energy minimizers of the 1-component DNLS equation and use it as the initial point of the m-component DNLS equations in a continuation scheme. We then show that the change of local optimality occurs only at the bifurcation points. The fact leads to a minimal energy tracking method that guides the choice of bifurcation branch corresponding to the minimal energy solution curve. By combining all these techniques with a parameter-switching scheme, we successfully compute a non-radially symmetric energy minimizer that can not be computed by existing numerical schemes straightforwardly. © 2009 Elsevier Inc. All rights reserved.
SDGs
Type
journal article