摘要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.
Abstract：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.
YAN Tian;YU Jia-Lu;HUANG Nian-Ning. On Kaup and Newell's Method for Solving DNLS Equation[J]. 中国物理快报, 2008, 25(1): 52-54.
YAN Tian, YU Jia-Lu, HUANG Nian-Ning. On Kaup and Newell's Method for Solving DNLS Equation. Chin. Phys. Lett., 2008, 25(1): 52-54.
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