INTEGRABLE EXPANDING MODELS FOR DISCRETE SYSTEMS APPLICATION: COUPLED TODA AND RELATIVISTIC TODA LATTICE

DOI10.1142/S0217979205029638zbMath1103.37043MaRDI QIDQ3410161

Xi-Xiang Xu, Hong-Xiang Yang

Publication date: 22 November 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Toda latticeLax pairsrelativistic Toda latticelattice soliton hierarchiesintegrable expanding model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (3)

INTEGRABLE COUPLINGS FOR THE ABLOWITZ–LADIK LATTICE THROUGH ENLARGING ASSOCIATED LAX PAIRS ⋮ TWO HIERARCHIES OF NONLINEAR SOLITON EQUATIONS, NEW INTEGRABLE SYMPLECTIC MAP AND DISCRETE INTEGRABLE COUPLINGS ⋮ A hierarchy of discrete integrable coupling system with self-consistent sources

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
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• 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
• Integrals of nonlinear equations of evolution and solitary waves

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