摘要
求解NLS+方程暗孤子解的问题早已解决,但其求解过程需要对Jost解的解析性进行繁杂的理论分析.本文用一种简单的方法,把求解NLS+方程暗孤子解的问题归结为纯粹的代数运算.
Abst Zahkarov and Shabat obtained the dark soliton solution to the NLS^＋ equation in 1973 through the modified inverse scattering method. But it is complicated to analyze the analyticity of Jost solution. In the paper,we construct the Gel＇fand-Levitan-Marchenko equation by a simple method. On the non-scattering case, the problem of solving the dark soliton solution to the NLS^＋ equation deduces to the algebraic calculation.
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出处
《应用数学》
CSCD
北大核心
2009年第1期204-208,共5页
Mathematica Applicata
基金
华中科技大学博士后专项基金(0128011006)
