A mixed integrable lattice hierarchy associated with the relativistic Toda lattice: conservation laws, \(N\)-fold Darboux transformation and soliton solutions

Cites Work

Unnamed Item
Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy
The conservation laws of some discrete soliton systems.
An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
A generating scheme for conservation laws of discrete zero curvature equations and its application
\(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation
\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation
A vector general nonlinear Schrödinger equation with \((m+n)\) components
Rogue periodic waves of the sine-Gordon equation
A hierarchy of integrable differential-difference equations and Darboux transformation
Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations
On the integrability of lattice equations with two continuum limits
Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation
A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions
A Darboux transformation for the Volterra lattice equation
Variational solutions for the discrete nonlinear Schrödinger equation
Darboux transformations in integrable systems. Theory and their applications to geometry
Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions
Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations
Classification of five-point differential-difference equations
Symmetries as integrability criteria for differential difference equations
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
Conservation Laws of Fluid Dynamics–A Survey
Nonlinear differential−difference equations
Nonlinear differential–difference equations and Fourier analysis
A Nonlinear Difference Scheme and Inverse Scattering
A new hierarchy of integrable differential-difference equations and Darboux transformation
A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation
Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
Classification of five-point differential–difference equations II
On a vector long wave‐short wave‐type model
Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system
Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice
Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice
A Darboux transformation and an exact solution for the relativistic Toda lattice equation
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
A trace identity and its applications to the theory of discrete integrable systems
Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice
Soliton interactions and conservation laws in a semi-discrete modified KdV equation

This page was built for publication: A mixed integrable lattice hierarchy associated with the relativistic Toda lattice: conservation laws, \(N\)-fold Darboux transformation and soliton solutions