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

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.

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• A Two-Component Generalization of the Integrable rdDym Equation
• Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations
• Infinitely many nonlocal conservation laws for the $ABC$ equation with $A+B+C\ne 0$
• Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations
• Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras
• Nonlocal symmetries of Lax integrable equations: a comparative study
• Integrable partial differential equations and Lie--Rinehart algebras
• Maurer - Cartan Forms of the Symmetry Pseudo-Group and the Covering of Plebanski's Second Heavenly Equation
• A Covering for the dKP-hyper CR Interpolating Equation and Multi-Valued Einstein-Weyl Structures
• Auto-Backlund Transformation for the r-th Double Modified Dispersionless Kadomtsev-Petviashvili Equation
• Lax representations with non-removable parameter and exotic cohomology of symmetry algebras of PDEs