Integrable evolution equations: A family of Hamiltonian structures and reductions

DOI10.1007/BF01081596zbMath0507.35082MaRDI QIDQ1837348

B. G. Konopelchenko

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

reductionsinverse scattering methodHamiltonian structuresintegrable evolution equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamilton-Jacobi equations in mechanics (70H20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance

Cites Work

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• Statistics of integral convex polygons
• A simple model of the integrable Hamiltonian equation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System