A Covering for the dKP-hyper CR Interpolating Equation and Multi-Valued Einstein-Weyl Structures

2009/03/23 by Oleg I. Morozov, Morozov, Oleg I.
Mathematics · Physics and Astronomy · #35A30 #58H05 #58J70 #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Physics Problems #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:35A30 #msc:58H05 #msc:58J70

paper · pdf · doi:10.48550/arxiv.0903.3788

arxiv created 2009/03/23 · openalex publication_date 2009/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the technique of integrable extensions to the symmetry pseudo-group of the dKP-hyper CR interpolating equation. This allows us to find a covering for this equation and to construct multi-valued Einstein-Weyl structures.

Related

• Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras. II
• Contact Integrable Extensions of Symmetry Pseudo-Group and Coverings for the r-th Double Modified Dispersionless Kadomtsev--Petviashvili Equation
• Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation
• Cartan's structure of symmetry pseudo-group and a covering for the modified Khokhlov-Zabolotskaya equation
• Einstein-Weyl structures from Hyper-Kähler metrics with conformal Killing vectors