Elementary Darboux transformations and factorization

DOI10.1007/s11232-005-0128-4zbMath1178.37085arXivnlin/0502006OpenAlexW1965720029MaRDI QIDQ843895

A. B. Shabat, Fabio Musso

Publication date: 17 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0502006

zbMATH Keywords

Yang-Baxter equationZakharov-Shabat spectral problemDarboux transformations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (1)

The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function

Cites Work

• Numerical realization of the inverse scattering method
• Dressing chains and the spectral theory of the Schrödinger operator
• Proceedings of the seminar on classical and quantum integrable systems, Moscow, Russia, January 8--11, 2001
• Solving the two-dimensional constant quantum Yang–Baxter equation
• Third version of the dressing method

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