Hamiltonian structure of the general integrable equations under reductions

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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Hamiltonian structure of the integrale equations under matrix \(Z^ n\)- reduction
General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance
The generating operator for the n \(\times n\) linear system
Symplectic structures, their Bäcklund transformations and hereditary symmetries
Integrable nonlinear Klein-Gordon equations and Toda lattices
Modifying Lax equations and the second Hamiltonian structure
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On Hamiltonian structure of integrable equations under the group and matrix reductions
Factorization of operators.II
Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
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The inverse scattering transform: Semi-infinite interval
A simple model of the integrable Hamiltonian equation
The general structure of integrable evolution equations
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
Foundations of Quantum Mechanics

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