Evolution of the scattering data under the classical Darboux transform for \(su(2)\) soliton systems
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Publication:1178648
DOI10.1007/BF02015338zbMath0747.35026MaRDI QIDQ1178648
Publication date: 26 June 1992
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
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Exact solution of the Zakharov-Shabat scattering problem for doubly-truncated multisoliton potentials, Computational methods for some inverse scattering problems, Nonlinear Fourier transform of time-limited and one-sided signals
Cites Work
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- A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations
- On the Bäcklund transformations for the generalized hierarchies of compound MKdV-SG equations
- On the Darboux matrices of Bäcklund transformations for AKNS systems
- Some remarks on the normalisation condition problem of the dressing method
