On Kaup and Newell's Method for Solving DNLS Equation
On Kaup and Newell's Method for Solving DNLS Equation
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DOI：
10.1088/0256-307x/25/1/015
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发表时间：
2008
影响因子：
3.5
通讯作者：
Yan Tian;Yu Jia-lu;Huang Nian-ning
中科院分区：
文献类型：
--
作者：
Yan Tian;Yu Jia-lu;Huang Nian-ning
研究了Kaup和纽韦尔修正的非线性微分薛定谔方程的逆散射变换。我们将其与最近提出的一种更合理的方法进行了比较，该方法已被刘维尔定理严格证明。结果表明，Kaup和纽韦尔的修正只适用于单孤子解，不能推广到多孤子情形。
Kaup and Newell's revised inverse scattering transform for the derivative nonlinear Schrodinger (DNLS) equation is investigated. We compared it with a more reasonable approach proposed recently, which is rigorously proven by the Liouville theorem. It is concluded that Kaup and Newell's revision is only suitable for giving single-soliton solution and can not be generalized to multi-soliton case.