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

TL;DR

This paper develops contact integrable extensions and coverings for the r-th double modified dispersionless Kadomtsev--Petviashvili equation, advancing the understanding of its symmetry structure and integrability properties.

Contribution

It introduces new contact integrable extensions and coverings specific to the r-th double modified dispersionless KP equation, expanding the toolkit for analyzing such equations.

Findings

Identification of contact integrable extensions

Construction of coverings for the equation

Enhanced understanding of symmetry structures

Abstract

We find contact integrable extensions and coverings for the r-th double modified dispersionless Kadomtsev--Petviashvili equation.