In this article, by means of considering a 4 × 4 discrete isospectral problem, and constructing a proper continuous time evolution equation, and using discrete zero curvature equation, a Blaszak-Marciniak four-field lattice hierarchy is re-derived. Thus a new matrix Lax representation for the hierarchy is obtained. From the new matrix Lax representation, we demonstrate the existence of infinitely many conservation laws for the lattice hierarchy and give the corresponding conserved densities and the associated fluxes formulaically. Thus its integrability is further confirmed.
Scopus Subject Areas
- Physics and Astronomy(all)
- Blaszak-Marciniak four-field lattice hierarchy
- Infinitely many conservation laws
- Matrix Lax representation