Hamiltonian and algebro-geometric integrals of stationary equations of KdV type

DOI10.1017/S0305004100056747zbMath0431.35076MaRDI QIDQ3868201

George Wilson

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

conservation lawsintegralsKorteweg-de Vries equationsLax equationshigher order differential operatornon-stationary equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (1)

Lax Matrices for Yang-Baxter Maps

Cites Work

• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• E-compact extensions of topological spaces
• A Lie algebra structure in a formal variational calculation
• Integration of nonlinear equations by the methods of algebraic geometry
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Periodic solutions of the KdV equation
• Integrals of nonlinear equations of evolution and solitary waves

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