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Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. (English) Zbl 1068.70021
Summary: In this Letter, by means of the matrix Lax representations for two Blaszak-Marciniak three-field lattice hierarchies, we demonstrate the existence of infinitely many conservation laws for the two lattice hierarchies and give the corresponding conserved density and the associated flux analytically.

70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
Full Text: DOI
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