A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system
DOI10.1016/j.chaos.2007.06.033zbMath1197.37072OpenAlexW1964800832MaRDI QIDQ712043
Hongye Chen, Peng Hua, Junben Zhang, Hai-Yong Ding
Publication date: 28 October 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.033
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Cites Work
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Integrable theory of the perturbation equations.
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Enlarging spectral problems to construct integrable couplings of soliton equations
- A new algebraic system and its applications
- Two hierarchies of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformation
- New hierarchies of integrable positive and negative lattice models and Darboux transformation
- Bäcklund Transformation for the Exponential Lattice
- Integrable couplings of vector AKNS soliton equations
- Nonlinear differential−difference equations
- Integrable semi-discretization of the coupled nonlinear Schrödinger equations
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Integrable semi-discretization of the coupled modified KdV equations
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
- A new integrable symplectic map associated with lattice soliton equations
- A Hierarchy of Lax Integrable Lattice Equations, Liouville Integrability and a New Integrable Symplectic Map
- A trace identity and its applications to the theory of discrete integrable systems
- Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
This page was built for publication: A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system