Matrix extension of the Manakov-Santini system and integrable chiral model on Einstein-Weyl background

Abstract

It was demonstrated recently [Dunajski, Ferapontov and Kruglikov (2014)] that the Manakov-Santini system describes a local form of general Lorentzian Einstein-Weyl geometry. We introduce integrable matrix extension of the Manakov-Santini system and show that it describes (2+1)-dimensional integrable chiral model in Einstein-Weyl space. We develop a dressing scheme for the extended MS system and define an extended hierarchy. Matrix extension of Toda type system connected with another local form of Einstein-Weyl geometry is also considered.

11 pages

References in corpus (1)

• Interpolating Dispersionless Integrable System

Cited by in corpus (2)

• Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background
• Matrix extension of multidimensional dispersionless integrable hierarchies