The generalized fractional trace variational identity and fractional integrable couplings of Kaup-Newell hierarchy
From MaRDI portal
Publication:3189955
DOI10.1063/1.4886495zbMath1301.37051OpenAlexW2030782686MaRDI QIDQ3189955
Publication date: 12 September 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4886495
Kaup-Newell hierarchyfractional Hamiltonian structurefractional integrable couplingfractional trace identity
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fractional derivatives and integrals (26A33)
Cites Work
- Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy
- Nonlinear continuous integrable Hamiltonian couplings
- A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy
- A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order
- Integrable theory of the perturbation equations.
- Semi-direct sums of Lie algebras and continuous integrable couplings
- On the local fractional derivative
- A generalized AKNS hierarchy and its bi-Hamiltonian structures
- Chaos, fractional kinetics, and anomalous transport
- The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
- Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
- An integrable system and associated integrable models as well as Hamiltonian structures
- New Integrable Couplings of Generalized Kaup—Newell Hierarchy and Its Hamiltonian Structures
- Lie Algebras for Constructing Nonlinear Integrable Couplings
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Local Fractional Fokker-Planck Equation
- Fractional differentiability of nowhere differentiable functions and dimensions
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- A direct method for integrable couplings of TD hierarchy
- Fractional wave equation and damped waves
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-Segur hierarchy
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
This page was built for publication: The generalized fractional trace variational identity and fractional integrable couplings of Kaup-Newell hierarchy