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物理学报. 2009, 58(9): 6063-6067.
doi: 10.7498/aps.58.6063.
求解DNLS方程的反散射法的基本问题
- 收稿日期: 2008-01-10
- 修回日期: 2008-06-26
- 刊出日期: 2009-09-20
English Abstract
The fundamental problem of inverse scattering method in solving the DNLS equation
- Received Date:
10 January 2008
- Accepted Date:
26 June 2008
- Published Online:
20 September 2009
Abstract: This is a basic work on the inverse scattering transform that constructs the complete orthonormal system of the free Jost solution. In order to establish the system for the DNLS equation, we introduce a new transform for the spectral parameter and a gauge transform. The Marchenko's equation and the Zakharov-Shabat's equation of inverse scattering are derived based on the new spectral parameter.
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