Desargues maps and the Hirota–Miwa equation
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Publication:4931048
DOI10.1098/rspa.2009.0300zbMath1195.51005arXiv0906.1000OpenAlexW3103649813WikidataQ104434191 ScholiaQ104434191MaRDI QIDQ4931048
Publication date: 2 October 2010
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/0906.1000
KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Desarguesian and Pappian geometries (51A30)
Related Items (19)
Non-commutative Hermite-Padé approximation and integrability ⋮ Binomial partial Steiner triple systems containing complete graphs ⋮ Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ Integrability and geometry of the Wynn recurrence ⋮ Clifford lattices and a conformal generalization of Desargues' theorem ⋮ A generalization of the dual immaculate quasisymmetric functions in partially commutative variables ⋮ Hermite-Padé approximation and integrability ⋮ The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system ⋮ Non-commutative rational Yang-Baxter maps ⋮ The Coxeter relations and KP map for non-commuting symbols ⋮ Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices ⋮ Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation ⋮ Discrete KP equation with self-consistent sources ⋮ The pentagon relation and incidence geometry ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ On the Variational Interpretation of the Discrete KP Equation ⋮ Difference systems in bond and face variables and non-potential versions of discrete integrable systems ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction ⋮ Non-autonomous multidimensional Toda system and multiple interpolation problem
Cites Work
- Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
- Classification of integrable equations on quad-graphs. The consistency approach
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Isothermic surfaces in sphere geometries as Moutard nets
- The Division Ring of Quotients of the Coordinate Ring of the Quantum General Linear Group
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