Starting from a discrete spectral problem, we derive a hierarchy of nonlinear discrete
equations which include the Ablowitz-Ladik (AL) equation. We analytically study the discrete …

Under consideration are the coupled Ablowitz–Ladik lattice equations with branched
dispersion, which may be used to model the propagation of an optical field in a tight binding …

Using a bidifferential graded algebra approach to'integrable'partial differential or difference
equations, a unified treatment of continuous, semi-discrete (Ablowitz–Ladik) and fully …

Under investigation in this paper is a discrete integrable Ablowitz–Ladik equation, which has
certain applications in the electrical and optical systems. Via the Hirota method and symbolic …

Abstract The coupled Ablowitz-Ladik lattice equations are the integrable discretizations of
the Schrödinger equation, which can be used to model the propagation of an optical field in …

Our purpose is to develop the inverse scattering transform for the nonlocal semidiscrete
nonlinear Schrödinger equation (called the Ablowitz–Ladik equation) with PT PT symmetry …

Abstract Using the Ablowitz–Kaup–Newell–Segur production method, a second-order
Ablowitz–Ladik lattice system with the 4× 4 Lax pair is presented and is being investigated in …

We present the nonautonomous discrete bright soliton solutions and their interactions in the
discrete Ablowitz-Ladik (DAL) equation with variable coefficients, which possesses …

A perturbed version of the complex Toda chain (CTC) has been employed to describe
adiabatic interactions within an N-soliton train of the nonlinear Schrödinger equation …

We briefly consider the Ablowitz-Ladik model (ALM) with special nonlocal reduction
introduced in [4]. The nonlocal ALM also allows Lax representation. Next the expansions …