Darboux Transformations for a Lax Integrable System in $2n$-Dimensions
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
A -dimensional Lax integrable system is proposed by a set of specific spectral problems. It contains Takasaki equations, the self-dual Yang-Mills equations and its integrable hierarchy as examples. An explicit formulation of Darboux transformations is established for this Lax integrable system. The Vandermonde and generalized Cauchy determinant formulas lead to a description for deriving explicit solutions and thus some rational and analytic solutions are obtained.
Cite
@article{arxiv.solv-int/9605002,
title = {Darboux Transformations for a Lax Integrable System in $2n$-Dimensions},
author = {Wen-Xiu Ma},
journal= {arXiv preprint arXiv:solv-int/9605002},
year = {2009}
}
Comments
Latex, 14 pages, to be published in Lett. Math. Phys