Bi-Hamiltonian structures for integrable systems on regular time scales
DOI10.1063/1.3158860zbMath1342.35428arXiv0810.0766OpenAlexW3099345306MaRDI QIDQ3069153
Burcu Silindir, Maciej Błaszak, Błażej M. Szablikowski
Publication date: 24 January 2011
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.0766
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Partial functional-differential equations (35R10) Lattice dynamics; integrable lattice equations (37K60) Dynamic equations on time scales or measure chains (34N05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle
- A simple way of making a Hamiltonian system into a bi-Hamiltonian one
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue
- Fractional powers of operators and Hamiltonian systems
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Constrained KP hierarchy and bi-Hamiltonian structures
- An \(r\)-matrix approach to nonstandard classes of integrable equations
- The solution to the \(q\)-KdV equation
- R-matrices and higher Poisson brackets for integrable systems
- Integrable equations on time scales
- TheR-matrix approach to integrable systems on time scales
- R-matrix approach to lattice integrable systems
- Functional representations of integrable hierarchies
- Integrable discrete systems on R and related dispersionless systems
This page was built for publication: Bi-Hamiltonian structures for integrable systems on regular time scales