A Covering for the dKP-hyper CR Interpolating Equation and Multi-Valued Einstein-Weyl Structures
Oleg I. Morozov
TL;DR
This paper uses integrable extensions to find a covering for the dKP-hyper CR interpolating equation, enabling the construction of multi-valued Einstein-Weyl structures, advancing the understanding of their geometric properties.
Contribution
The paper introduces a novel application of integrable extensions to derive a covering and construct multi-valued Einstein-Weyl structures for the dKP-hyper CR interpolating equation.
Findings
Found a new covering for the dKP-hyper CR interpolating equation.
Constructed multi-valued Einstein-Weyl structures from the covering.
Enhanced understanding of the geometric structures related to the equation.
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Advanced Differential Equations and Dynamical Systems