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Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0306-3
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…
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Keywords:
ablowitz ladik;
ladik integrable;
lattice hierarchy;
integrable lattice ... See more keywords
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Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06856-8
Abstract: The non-autonomous discrete bright–dark soliton solutions(NDBDSSs) of the 2 + 1-dimensional Ablowitz–Ladik (AL) equation are derived. We analyze the dynamic behaviors and interactions of the obtained 2 + 1-dimensional NDBDSSs. In this paper, we present…
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Keywords:
ladik equation;
bright dark;
ablowitz ladik;
dimensional ablowitz ... See more keywords
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Published in 2021 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2021.132954
Abstract: Abstract In this paper, we consider the robust inverse scattering method for the Ablowitz–Ladik (AL) equation on the non-vanishing background, which can be used to deal with arbitrary-order poles on the branch points and spectral…
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Keywords:
ablowitz ladik;
inverse scattering;
scattering method;
robust inverse ... See more keywords
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Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0072391
Abstract: The Ablowitz–Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localized solitons to rational solutions in the form of the spatiotemporally localized discrete…
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Keywords:
ablowitz ladik;
discrete nonlinear;
nonlinear schr;
schr dinger ... See more keywords