Multidimensional integrable systems and deformations of Lie algebra homomorphisms

Abstract

We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti--self--dual Yang--Mills equations with a gauge group Diff$(S^1)$.

14 pages. An example of a reduction to the Beltrami equation added. New title. Final version, published in JMP

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Cited by in corpus (6)

• New heavenly double copies
• New integrable (3+1)-dimensional systems and contact geometry
• Integrable Background Geometries
• Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems
• Dispersive deformations of hydrodynamic reductions of 2D dispersionless integrable systems
• On an integrable deformation of Kapustin-Witten systems