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

References in corpus (1)

• Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1