On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem

DOI10.1088/0305-4470/15/11/019zbMath0507.35079OpenAlexW2143241612MaRDI QIDQ4744678

B. G. Konopelchenko

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/10.1088/0305-4470/15/11/019

zbMATH Keywords

Bäcklund transformationsnonlinear evolution equationsnonlinear superposition formulainverse scattering transformationmatrix non- stationary Schrödinger spectral problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Elementary Bäcklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform ⋮ KP governs random growth off a 1-dimensional substrate ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy

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