Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
From MaRDI portal
Publication:4561988
DOI10.1098/rspa.2016.0915zbMath1404.39004arXiv1612.04711OpenAlexW2724255486WikidataQ52384022 ScholiaQ52384022MaRDI QIDQ4561988
Publication date: 14 December 2018
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/1612.04711
solitondiscrete integrable systemdiscrete BKP equationdirect linearizing transformdiscrete AKP equationdiscrete CKP equation
Related Items
Generalized matrix exponential solutions to the AKNS hierarchy ⋮ Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies ⋮ Linear integral equations, infinite matrices, and soliton hierarchies ⋮ Degasperis–Procesi peakon dynamical system and finite Toda lattice of CKP type ⋮ A lattice CKP equation expressed by the \(\tau\) function ⋮ On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve ⋮ Applications of the Sylvester equation for the lattice BKP system ⋮ The Sylvester equation and integrable equations: the Ablowitz-Kaup-Newell-Segur system ⋮ Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ On reductions of the discrete Kadomtsev–Petviashvili-type equations ⋮ On the fourth-order lattice Gel'fand-Dikii equations ⋮ Cauchy matrix solutions to some local and nonlocal complex equations ⋮ Solitons of some nonlinear sigma-like models ⋮ On moving frames and Toda lattices of BKP and CKP types ⋮ Direct linearisation of the discrete-time two-dimensional Toda lattices ⋮ Duality for discrete integrable systems II ⋮ Solitons of the (2+2)-dimensional Toda lattice ⋮ An update of a Bäcklund transformation and its applications to the Boussinesq system ⋮ Multi-component extension of CAC systems ⋮ Difference systems in bond and face variables and non-potential versions of discrete integrable systems ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations ⋮ Symmetric discrete AKP and BKP equations
Cites Work
- Unnamed Item
- Solitons and infinite dimensional Lie algebras
- The B-quadrilateral lattice, its transformations and the algebro-geometric construction
- The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction
- Yang-Baxter maps from the discrete BKP equation
- Theory of integrable three-dimensional nonlinear lattice equations
- On Hirota's difference equations
- Classification of integrable equations on quad-graphs. The consistency approach
- Multidimensional quadrilateral lattices are integrable.
- On discrete three-dimensional equations associated with the local Yang-Baxter relation
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Discrete Systems and Integrability
- Classification of Integrable Discrete Equations of Octahedron Type
- A multidimensionally consistent version of Hirota’s discrete KdV equation
- Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
- YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
- Hyperdeterminants as integrable discrete systems
- Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
- Circle Complexes and the Discrete CKP Equation
- An Integrable Discretization of a 2+1‐dimensional Sine‐Gordon Equation
- Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy
- Desargues maps and the Hirota–Miwa equation
- On Negatons of the Toda Lattice
- Discrete line complexes and integrable evolution of minors
- Constructing lump-like solutions of the Hirota–Miwa equation
- On a non-Abelian Hirota–Miwa equation
- The direct linearisation approach to hierarchies of integrable PDEs in 2 + 1 dimensions: I. Lattice equations and the differential-difference hierarchies