摘要
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.
原文 | 英語 |
---|---|
頁(從 - 到) | 7941-7956 |
頁數 | 16 |
期刊 | Journal of Computational Physics |
卷 | 228 |
發行號 | 21 |
DOIs | |
出版狀態 | 已發佈 - 2009 11月 20 |
ASJC Scopus subject areas
- 數值分析
- 建模與模擬
- 物理與天文學(雜項)
- 物理與天文學 (全部)
- 電腦科學應用
- 計算數學
- 應用數學