A lattice hierarchy associated with \(\mathrm{RTL}_+(\alpha)\) system: Hamiltonian structures, discrete \(N\)-fold Darboux transformation, soliton elastic interactions and dynamics

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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\(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
The exponential function rational expansion method and exact solutions to nonlinear lattice equations system
Approximate solution for system of differential-difference equations by means of the homotopy analysis method
A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system
Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
New integrable lattice hierarchies and associated properties
A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
Homotopy perturbation method for the nonlinearity relativistic Toda lattice equations
A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies
Theory of nonlinear lattices.
The problem of integrable discretization: Hamiltonian approach
Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon
Application of the exp-function method for nonlinear differential-difference equations
A Darboux transformation for the Volterra lattice equation
Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems
Rational formal solutions of differential-difference equations
New hierarchies of integrable positive and negative lattice models and Darboux transformation
The (2+1)-dimensional nonisospectral relativistic Toda hierarchy related to the generalized discrete Painlevé hierarchy
A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
A Darboux transformation and an exact solution for the relativistic Toda lattice equation
A trace identity and its applications to the theory of discrete integrable systems
Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice
Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system
Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation

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