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

DOI10.1134/S0040577919120031zbMath1445.37046arXiv1907.01964MaRDI QIDQ2190183

L. V. Bogdanov

Publication date: 18 June 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01964

zbMATH Keywords

Einstein-Weyl geometryintegrable chiral modeldispersionless integrable systemManakov-Santini system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (2)

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

Cites Work

• Unnamed Item
• A class of multidimensional integrable hierarchies and their reductions
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Nonlinear gravitons and curved twistor theory
• Integrable background geometries
• A hierarchy of integrable partial differential equations in \(2+1\) dimensions associated with one-parameter families of one-dimensional vector fields
• On the Einstein-Weyl and conformal self-duality equations
• Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy
• An interpolating dispersionless integrable system
• Soliton solutions in an integrable chiral model in 2+1 dimensions
• Self-duality in four-dimensional Riemannian geometry
• SDYM equations on the self-dual background
• Dunajski generalization of the second heavenly equation: dressing method and the hierarchy

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