Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation

DOI10.1088/0305-4470/39/8/008zbMath1089.35073OpenAlexW2007769098MaRDI QIDQ3379357

Wolfgang K. Schief, Alastair D. King

Publication date: 6 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/8/008

zbMATH Keywords

Bäcklund transformationPascal's theoremCarnot's theoremincidence theorem of projective geometryintegrable discrete CKP equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Incidence structures embeddable into projective geometries (51A45) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system ⋮ A lattice CKP equation expressed by the \(\tau\) function ⋮ On the classification of multidimensionally consistent 3D maps ⋮ The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction ⋮ Discrete projective minimal surfaces ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

This page was built for publication: Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation