Multidimensional integrable systems and deformations of Lie algebra homomorphisms

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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

Scientific paper

10.1063/1.2777008

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$(S^1)$.

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