DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS FOR A 3-FIELD INTEGRABLE LATTICE SYSTEM WITH THREE ARBITRARY CONSTANTS

DOI10.1142/S0217979211100485zbMath1333.37109MaRDI QIDQ2797223

Xi-Xiang Xu

Publication date: 5 April 2016

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

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 (1)

Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions

Cites Work

• Darboux transformation of a coupled lattice soliton equation
• Darboux transformations for a Lax integrable system in \(2n\) dimensions
• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Relativistic Toda systems
• Nonlinear differential−difference equations
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• A novel hierarchy of integrable lattices
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications
• A HIERARCHY OF LATTICE SOLITON EQUATIONS AND ITS HIGHER-ORDER SYMMETRY CONSTRAINT
• A discrete variational identity on semi-direct sums of Lie algebras
• DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION
• Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions

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