A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations

Yueh Cheng Kuo, Wen Wei Lin, Shih Feng Shieh, Weichung Wang*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

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
228
發行號21
DOIs
出版狀態已發佈 - 2009 十一月 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

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