New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê
type: Item
instance of: scholarly article
title: New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê
zbMATH Open document ID: 1309.39013
published in: Applied Mathematics and Computation
publication date: 2015-03-26T00:00:00Z
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 39A14
zbMATH DE Number: 6419856
zbMATH Keywords: \((2+1)\)-dimensional
zbMATH Keywords: discrete soliton hierarchy
zbMATH Keywords: shift operator
author: Fa-Jun Yu
MaRDI profile type: Publication
full work available at URL: j.amc.2012.09.027
OpenAlex ID: W2018399448
cites work: A generalized cubic Volterra lattice hierarchy and its integrable couplings system
cites work: A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
cites work: R-matrix approach to lattice integrable systems
cites work: On a generalized \(2+1\) dispersive water wave hierarchy
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
cites work: A discrete variational identity on semi-direct sums of Lie algebras
cites work: Bäcklund transformations of soliton systems from symmetry constraints
cites work: Integrable discrete systems on R and related dispersionless systems
cites work: From dispersionless to soliton systems via Weyl–Moyal-like deformations
cites work: A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Q3169307
cites work: Constructing nonlinear discrete integrable Hamiltonian couplings
cites work: An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
cites work: \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves
cites work: A family of Liouville integrable lattice equations and its conservation laws
cites work: The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem
cites work: The reduction problem and the inverse scattering method
cites work: Lie algebraic approach to the construction of \((2+1)\)-dimensional lattice-field and field integrable Hamiltonian equations.
cites work: AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
cites work: A trace identity and its applications to the theory of discrete integrable systems
cites work: Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
cites work: Extension of the discrete KP hierarchy
cites work: A new integrable symplectic map associated with lattice soliton equations
cites work: Integrable hierarchies of nonlinear difference-difference equations and symmetries
cites work: Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
cites work: A lattice hierarchy and its continuous limits
cites work: A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources
cites work: A new loop algebra system and its discrete integrable coupling system
cites work: On (2+1)-Dimensional Non-isospectral Toda Lattice Hierarchy and Integrable Coupling System
DOI: 10.1016/J.AMC.2012.09.027
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description: scientific article; zbMATH DE number 6419856