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Darboux Transformations for a Lax Integrable System in $2n$-Dimensions

Wen-Xiu Ma
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Abstract

A $2n$-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.

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BibTeXRIS

Wen-Xiu Ma. 1996-05-15. Darboux Transformations for a Lax Integrable System in $2n$-Dimensions. https://doi.org/10.1007/s11005-997-3049-3

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