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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.

##### MSC:
 70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
##### Keywords:
matrix Lax representation; conserved density
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##### References:
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