Darboux coordinates and isospectral Hamiltonian flows for the massive Thirring model

DOI10.1007/BF00761497zbMath0811.58050OpenAlexW2050384037MaRDI QIDQ1310997

M. A. Wisse

Publication date: 3 May 1995

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

Full work available at URL: https://doi.org/10.1007/bf00761497

zbMATH Keywords

integrabilitymassive Thirring modelisospectral Hamiltonian flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Loop groups and related constructions, group-theoretic treatment (22E67) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables ⋮ Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ Separation of variables for soliton equations via their binary constrained flows

Cites Work

• Unnamed Item
• Multi-soliton solutions to the Thirring model through the reduction method
• Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
• Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
• Inverse Scattering Method for the Tow-Dimensional Massive Thirring Model
• Theta functions and non-linear equations

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