Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg-de Vries equation

DOI10.1007/BF01038544zbMath0563.35068OpenAlexW2060908496MaRDI QIDQ1057427

V. A. Andreev

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01038544

zbMATH Keywords

rational solutionsBäcklund transformationsKorteweg-de Vries equationPainlevé equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Monodromy- and spectrum-preserving deformations. I
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A commutator representation of Painlevé equations
• The general structure of integrable evolution equations

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