Canonical Hamiltonian representation of the Krichever--Novikov equation

DOI10.1007/BF01156139zbMath0781.35063MaRDI QIDQ685637

Oleg I. Mokhov

Publication date: 23 September 1993

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hodograph transformationKorteweg--de Vries equationtransformations of the hodograph type

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator \(D_x\)

Cites Work

• On the structure of Hamiltonian operators in field theory
• Some asymptotic formulas for elliptic pseudodifferential operators
• Weierstrass-Malgrange preparation theorem in the finitely smooth case
• Hall-Littlewood functions and orthogonal polynomials
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Local third-order Poisson brackets
• Dirac’s theory of constraints in field theory and the canonical form of Hamiltonian differential operators
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• On the quasi-Hamiltonian formalism of the KdV equation
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