An Ablowitz-Ladik Integrable Lattice Hierarchy with Multiple Potentials
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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… read more here.
Keywords: ablowitz ladik; ladik integrable; lattice hierarchy; integrable lattice ... See more keywords
Interaction dynamics of nonautonomous bright and dark solitons of the discrete (2 + 1)-dimensional Ablowitz–Ladik equation
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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… read more here.
Keywords: ladik equation; bright dark; ablowitz ladik; dimensional ablowitz ... See more keywords
The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background
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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… read more here.
Keywords: ablowitz ladik; inverse scattering; scattering method; robust inverse ... See more keywords
The closeness of localized structures between the Ablowitz–Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems
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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… read more here.
Keywords: ablowitz ladik; discrete nonlinear; nonlinear schr; schr dinger ... See more keywords