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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… Click to show full 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.
Keywords:
ablowitz ladik;
ladik integrable;
lattice hierarchy;
integrable lattice
Journal Title: Acta Mathematica Scientia
Year Published: 2020
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Journal Title: Acta Mathematica Scientia
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!