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• W2060691357 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." @default.
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• W2060691357 date "2009-11-01" @default.
• W2060691357 modified "2023-10-16" @default.
• W2060691357 title "A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations" @default.
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• W2060691357 doi "https://doi.org/10.1016/j.jcp.2009.07.029" @default.
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