Dynamics and elastic interactions of the discrete multi-dark soliton solutions for the Kaup–Newell lattice equation
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DOI: 10.1142/s0217984918500859
Abstract: Under consideration in this paper is the Kaup–Newell (KN) lattice equation which is an integrable discretization of the KN equation. Infinitely, many conservation laws and discrete N-fold Darboux transformation (DT) for this system are constructed… read more here.
Keywords: multi dark; lattice equation; discrete multi; kaup newell ... See more keywords
Continuous Limit, Rational Solutions, and Asymptotic State Analysis for the Generalized Toda Lattice Equation Associated with 3 × 3 Lax Pair
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DOI: 10.3390/sym14050920
Abstract: Discrete integrable nonlinear differential difference equations (NDDEs) have various mathematical structures and properties, such as Lax pair, infinitely many conservation laws, Hamiltonian structure, and different kinds of symmetries, including Lie point symmetry, generalized Lie bäcklund… read more here.
Keywords: generalized toda; equation; toda lattice; lax pair ... See more keywords