Contact Integrable Extensions of Symmetry Pseudo-Group and Coverings of the r-th Modified Dispersionless Kadomtsev -- Petviashvili Equation

TL;DR

This paper explores the use of integrable extensions to analyze the symmetry pseudo-group of the r-th mdKP equation, leading to new insights and coverings for this integrable system.

Contribution

It introduces a novel application of integrable extensions to the symmetry pseudo-group, revealing new coverings for the r-th mdKP equation.

Findings

Derived known coverings using integrable extensions

Discovered new coverings for the r-th mdKP equation

Provided a new perspective on symmetry analysis of integrable equations

Abstract

We apply the technique of integrable extensions to the symmetry pseudo-group of the r-th mdKP equation. This gives another look on deriving known coverings and allows us to find new coverings for this equation.