A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems
DOI10.1063/1.4914942zbMath1310.37041OpenAlexW1964171637MaRDI QIDQ5245240
Xin-Yue Li, Yu-Xia Li, Huan He Dong, Qiu-Lan Zhao
Publication date: 7 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4914942
Lie super-algebrasuper-integrabilitysuper-discrete Hamiltonian structuresuper-discrete variational identitysuper-Toda lattice hierarchy
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The finite-dimensional super integrable system of a super NLS-mKdV equation
- An approach for generating enlarging integrable systems
- Constructing nonlinear discrete integrable Hamiltonian couplings
- Integrable hierarchy, \(3\times 3\) constrained systems, and parametric solutions
- Integrable theory of the perturbation equations.
- The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem
- A new super-extension of the KdV hierarchy
- Semi-direct sums of Lie algebras and continuous integrable couplings
- A new fractional order soliton equation hierarchy and its integrable coupling system
- Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
- Tri-integrable couplings by matrix loop algebras
- Darboux transformations for supersymmetric Korteweg-de Vries equations
- A fifth order semidiscrete mKdV equation
- A new integrable symplectic map for 4-field Blaszak-Marciniak lattice equations
- Two integrable lattice hierarchies and their respective Darboux transformations
- New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint
- Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures
- BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM
- A supertrace identity and its applications to superintegrable systems
- Binary nonlinearization of the super AKNS system under an implicit symmetry constraint
- Bosons and fermions interacting integrably with the Korteweg-de Vries field
- Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem
- Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation
- R-matrix approach to lattice integrable systems
- New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
- New Matrix Lax Representation for a Blaszak–Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
- An approach to generate superextensions of integrable systems
- An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family
- Integrable hierarchies related to the Kuper-CH spectral problem
- A new integrable symplectic map associated with lattice soliton equations
- The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy
- A discrete variational identity on semi-direct sums of Lie algebras
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- A trace identity and its applications to the theory of discrete integrable systems
This page was built for publication: A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems
