Some new integrable equations from the self-dual Yang-Mills equations

T. A. Ivanova; A. D. Popov

doi:10.1016/0375-9601(95)00541-a

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arXiv · hep-th/9508129

Some new integrable equations from the self-dual Yang-Mills equations

T. A. Ivanova·A. D. Popov

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Abstract

Using the symmetry reductions of the self-dual Yang-Mills (SDYM) equations in (2+2) dimensions, we introduce new integrable equations which are nonautonomous versions of the chiral model in (2+1) dimensions, generalized nonlinear Schrodinger, Korteweg-de Vries, Toda lattice, Garnier and Euler-Arnold equations. The Lax pairs for all of these equations are derived by the symmetry reductions of the Lax pair for the SDYM equations.

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T. A. Ivanova, A. D. Popov. 1995-08-24. Some new integrable equations from the self-dual Yang-Mills equations. https://doi.org/10.1016/0375-9601(95)00541-a

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