Some new integrable equations from the self-dual Yang-Mills equations
High Energy Physics - Theory
2009-10-28 v1
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.
Cite
@article{arxiv.hep-th/9508129,
title = {Some new integrable equations from the self-dual Yang-Mills equations},
author = {T. A. Ivanova and A. D. Popov},
journal= {arXiv preprint arXiv:hep-th/9508129},
year = {2009}
}
Comments
17 pages, Latex