On the Lagrangian formulation of multidimensionally consistent systems
From MaRDI portal
Publication:2889173
DOI10.1098/rspa.2011.0124zbMath1239.39005arXiv1008.1952OpenAlexW3100876231WikidataQ59902779 ScholiaQ59902779MaRDI QIDQ2889173
Sarah B. Lobb, Frank W. Nijhoff, Pavlos Xenitidis
Publication date: 4 June 2012
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1952
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Discrete version of topics in analysis (39A12) Geometric theory, characteristics, transformations in context of PDEs (35A30) Partial difference equations (39A14)
Related Items
Symmetries and conservation laws of lattice Boussinesq equations ⋮ An integrable multicomponent quad-equation and its Lagrangian formulation ⋮ Quantum variational principle and quantum multiform structure: the case of quadratic Lagrangians ⋮ A variational approach to Lax representations ⋮ Quantum integrability: Lagrangian 1-form case ⋮ Lagrangian multiforms on Lie groups and non-commuting flows ⋮ On the Lagrangian 1-form structure of the hyperbolic Calogero-Moser system ⋮ Variational symmetries and Lagrangian multiforms ⋮ A variational principle for discrete integrable systems ⋮ Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems ⋮ Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs ⋮ Hamiltonian multiform description of an integrable hierarchy ⋮ What is integrability of discrete variational systems? ⋮ A discrete Darboux-Lax scheme for integrable difference equations ⋮ Multiform description of the AKNS hierarchy and classical r-matrix ⋮ Semi-discrete Lagrangian 2-forms and the Toda hierarchy
Cites Work
- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Linear integral equations and nonlinear difference-difference equations
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Classification of integrable equations on quad-graphs. The consistency approach
- The discrete Korteweg-de Vries equation
- A family of integrable nonlinear equations of hyperbolic type
- Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
- Searching for CAC-maps
- Lagrangian multiform structure for the lattice KP system
- Symmetries as integrability criteria for differential difference equations
- Continuous symmetric reductions of the Adler–Bobenko–Suris equations
- Lagrangian multiforms and multidimensional consistency
- Symmetries and integrability of discrete equations defined on a black–white lattice
- Method for Generating Discrete Soliton Equation. III
- A Nonlinear Difference Scheme and Inverse Scattering
- On the Solution of a Class of Nonlinear Partial Difference Equations
- On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
- Lagrangian multiform structure for the lattice Gel'fand–Dikii hierarchy
- Affine linear and D4symmetric lattice equations: symmetry analysis and reductions
