Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies

DOI10.1016/S0375-9601(02)00432-2zbMath1068.70021WikidataQ57692574 ScholiaQ57692574MaRDI QIDQ1597878

Qing Ding, Zuo-nong Zhu, Wei-Min Xue, Xiao-Nan Wu

Publication date: 3 June 2002

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

conserved densitymatrix Lax representation

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

Matrix spectral problems and integrability aspects of the Błaszak-Marciniak lattice equations, Finite-band solutions for the hierarchy of coupled Toda lattices, Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy, Two families of Liouville integrable lattice equations, Leading order integrability conditions for differential-difference equations, Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth-Order Spectral Operator: Local Conservation Laws, New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations

Cites Work

• Computation of conserved densities for systems of nonlinear differential-difference equations
• Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations
• Integrable semi-discretization of the coupled nonlinear Schrödinger equations
• R-matrix approach to lattice integrable systems
• A New Integrable Symplectic Map of Neumann Type
• Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
• Integrable semi-discretization of the coupled modified KdV equations
• A new integrable symplectic map associated with lattice soliton equations