The polynomial spectral problem of arbitrary order: a general form of the integrable equations and Backlund transformations

DOI10.1088/0305-4470/14/12/011zbMath0482.35006OpenAlexW2000237610MaRDI QIDQ3940156

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/12/011

zbMATH Keywords

Poisson brackets recursion operator symmetry transformations spectral problem integrable equations infinite- dimensional groups of general Bäcklund transformations matrix combined nonlinear Schrödinger equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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