Cylindrical Korteweg de Vries equation and Painleve property

DOI10.1088/0305-4470/16/13/001zbMath0522.35080OpenAlexW1984860005MaRDI QIDQ3672400

Willi-Hans Steeb, B. M. Spieker, M. Kloke, Walter Oevel

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1088/0305-4470/16/13/001

zbMATH Keywords

cylindrical Korteweg-de Vries equationLax representationsoliton equationsBäcklund transformationPainleve property

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)

Related Items (10)

Exact solutions to KdV equations with variable coefficients and/or nonuniformities ⋮ Sinh-Gordon equation, Painlevé property and Bäcklund transformation ⋮ On the integrability of nonlinear Dirac equations ⋮ Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg–de Vries equation. I ⋮ A variable coefficient Korteweg–de Vries equation: Similarity analysis and exact solution. II ⋮ Computation of generating symmetries ⋮ Painlevé property of the inhomogeneous deformed Kaup system ⋮ Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities ⋮ An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications ⋮ COMPUTERIZED SYMBOLIC COMPUTATION FOR THE CYLINDRICAL KORTEWEG–DE VRIES EQUATION

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