THE MODIFIED TODA LATTICE IN (2+1)-DIMENSIONS AND INTEGRABLE COUPLING SYSTEMS
DOI10.1142/S0217979206035461zbMath1111.37057OpenAlexW2086439374MaRDI QIDQ3430146
Xi-Xiang Xu, Xiuzhen Li, Changsheng Li, Hong-Xiang Yang
Publication date: 20 March 2007
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979206035461
spectral problemintegrable coupling(2+1)-dimensional Toda latticeintegrable positive and negative lattice
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) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Enlarging spectral problems to construct integrable couplings of soliton equations
- 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
- Nonlinear differential−difference equations
- R-matrix approach to lattice integrable systems
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Explicit Solutions of the 2+1-Dimensional Modified Toda Lattice through Straightening out of the Relativistic Toda Flows
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