Third version of the dressing method

DOI10.1007/BF02557235zbMath0987.35133MaRDI QIDQ5930850

A. B. Shabat

Publication date: 13 June 2002

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

zbMATH Keywords

dressing methodZakharov-Shabat spectral problem

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Difference equations, scaling ((q)-differences) (39A13) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (9)

FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS ⋮ Necessary covariance conditions for a one-field Lax pair ⋮ Elementary Darboux transformations and factorization ⋮ Discrete symmetry’s chains and links between integrable equations ⋮ Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type ⋮ Symmetries of Spectral Problems ⋮ Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type ⋮ The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular ``positons ⋮ Reduction on the dressing chain of the Schrödinger operator

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On a class of Toda chains
• Dressing chains and the spectral theory of the Schrödinger operator
• Nonlinear chains and Painlevé equations
• Integrable lattices
• The infinite-dimensional dressing dynamical system
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