Korteweg-de Vries surfaces and Bäcklund curves

DOI10.1063/1.525534zbMath0496.35075OpenAlexW2021475754MaRDI QIDQ3961239

Boris A. Kupershmidt

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525534

zbMATH Keywords

Bäcklund transformationsintegrable equationBäcklund curvesKorteweg-de Vries surfaces

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Algebraic aspects of nonlinear differential equations
• On a class of polynomials connected with the Korteweg-de Vries equation
• Modifying Lax equations and the second Hamiltonian structure
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• On the nature of the Gardner transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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