On the structure of nonlinear evolution equations integrable by the Z2-graded quadratic bundle

DOI10.1088/0305-4470/15/7/014zbMath0495.35062OpenAlexW2005133486MaRDI QIDQ3958850

B. G. Konopelchenko, I. B. Formusatic

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/7/014

zbMATH Keywords

Bäcklund transformationsnonlinear evolution equationsgauge equivalencenonlinear superposition principleHamiltonian structuresintegrable equationsclassic anticommuting fermion fieldsclassic boson fieldsquadratic spectral problemrelativistic-invariant equations

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system ⋮ General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance ⋮ The soliton perturbation theory based on the Riemann-Hilbert spectral problem. ⋮ Hamiltonian structure of the general integrable equations under reductions ⋮ Bäcklund-Calogero group and general form of integrable equations for the two-dimensional Gelfand-Dikij-Zakharov-Shabat problem. Bilocal approach

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