Hamiltonian structure of the integrale equations under matrix \(Z^ n\)- reduction
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Publication:786333
DOI10.1007/BF00400328zbMath0527.35069MaRDI QIDQ786333
Publication date: 1982
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Hamiltonian structurePoisson bracketssine-Gordon equationnonlinear evolution equationsintegrable equationsmatrix Z-N-reduction
Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (2)
Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications ⋮ Hamiltonian structure of the general integrable equations under reductions
Cites Work
- Integrable nonlinear Klein-Gordon equations and Toda lattices
- Conservation laws and symmetries of generalized sine-Gordon equations
- (L,A)-pairs and a Riccati type substitution
- Factorization of operators I. Miura transformations
- On the structure of equations integrable by the arbitrary-order linear spectral problem
- On Hamiltonian structure of integrable equations under the group and matrix reductions
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
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