New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê

DOI10.1016/j.amc.2012.09.027zbMath1309.39013OpenAlexW2018399448MaRDI QIDQ2018985

Fa-Jun Yu

Publication date: 26 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.027

zbMATH Keywords

\((2+1)\)-dimensionalshift operatordiscrete soliton hierarchy

Mathematics Subject Classification ID

Difference operators (39A70) Partial difference equations (39A14)

Cites Work

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• An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
• A family of Liouville integrable lattice equations and its conservation laws
• Constructing nonlinear discrete integrable Hamiltonian couplings
• A lattice hierarchy and its continuous limits
• A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
• A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources
• A generalized cubic Volterra lattice hierarchy and its integrable couplings system
• Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
• The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem
• Semi-direct sums of Lie algebras and continuous integrable couplings
• The reduction problem and the inverse scattering method
• On a generalized \(2+1\) dispersive water wave hierarchy
• \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves
• A new loop algebra system and its discrete integrable coupling system
• Integrable hierarchies of nonlinear difference-difference equations and symmetries
• Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations
• AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
• R-matrix approach to lattice integrable systems
• From dispersionless to soliton systems via Weyl–Moyal-like deformations
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Extension of the discrete KP hierarchy
• On (2+1)-Dimensional Non-isospectral Toda Lattice Hierarchy and Integrable Coupling System
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• A new integrable symplectic map associated with lattice soliton equations
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• Integrable discrete systems on R and related dispersionless systems
• A trace identity and its applications to the theory of discrete integrable systems

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