Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations

Abstract

We present examples of Lax-integrable multi-dimensional systems of partial differential equations with higher local symmetries. We also consider Lagrangian deformations of these equations and construct variational bivectors on them.

References in corpus (2)

• Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
• The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators

Cited by in corpus (5)

• The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators
• Lagrangian multiforms and dispersionless integrable systems
• Recursion operators in the cotangent covering of the rdDym equation
• The Calogero--Bogoyavlenskii--Schiff breaking soliton equation: recursion operators and higher symmetries
• Einstein Metrics, Projective Structures and the $SU(\infty )$ Toda Equation