Bäcklund transformations connecting different isospectral deformation equations

DOI10.1063/1.524826zbMath0502.58033OpenAlexW2085299019MaRDI QIDQ3968207

D. V. Chudnovsky, G. V. Choodnovsky

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524826

zbMATH Keywords

Riemann boundary value problemscattering matrixBäcklund transformationsisospectral deformation equationsLax-representationcommuting HamiltoniansBaxter technique

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20) Ergodic theorems, spectral theory, Markov operators (37A30) Differentials on Riemann surfaces (30F30) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

Elliptic curves and soliton matrix differential equations ⋮ Gauge and dual symmetries and linearization of Hirota’s bilinear equations ⋮ Recursion and group structures of soliton equations ⋮ Bäcklund transformations related to the Kaup-Newell spectral problem

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• A Lie algebra structure in a formal variational calculation
• Holonomic quantum fields. I
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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