A NEW HIERARCHY OF DISCRETE INTEGRABLE MODEL AND ITS DARBOUX TRANSFORMATION
DOI10.1142/S0217984907012360zbMath1175.37073OpenAlexW1964264286MaRDI QIDQ3631286
Xiang Tian, Xi-Xiang Xu, Hai-Yong Ding, Hong-Xiang Yang
Publication date: 5 June 2009
Published in: Modern Physics Letters B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217984907012360
recursion operatorLiouville integrabilityDarboux transformationdiscrete Hamiltonian structurediscrete zero curvature equationlattice soliton equationLax integrable system
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) 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
- Enlarging spectral problems to construct integrable couplings of soliton equations
- Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
- The Coupled Modified Korteweg-de Vries Equations
- Nonlinear differential−difference equations
- R-matrix approach to lattice integrable systems
- Explicit Solutions of the 2+1-Dimensional Modified Toda Lattice through Straightening out of the Relativistic Toda Flows
- New Matrix Lax Representation for a Blaszak–Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
- A new integrable symplectic map associated with lattice soliton equations
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