AN ABLOWITZ-LADIK INTEGRABLE LATTICE HIERARCHY WITH MULTIPLE POTENTIALS

doi:10.1007/s10473-020-0306-3

Abstract

Abstract: Within the zero curvature formulation, a hierarchy of integrable lattice equations is constructed from an arbitrary-order matrix discrete spectral problem of Ablowitz-Ladik type. The existence of infinitely many symmetries and conserved functionals is a consequence of the Lax operator algebra and the trace identity. When the involved two potential vectors are scalar, all the resulting integrable lattice equations are reduced to the standard Ablowitz-Ladik hierarchy.

Key words: Integrable lattice, discrete spectral problem, symmetry and conserved functional

CLC Number:

35Q51

Wen-Xiu MA. AN ABLOWITZ-LADIK INTEGRABLE LATTICE HIERARCHY WITH MULTIPLE POTENTIALS[J].Acta mathematica scientia,Series B, 2020, 40(3): 670-678.

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