This article is cited in 2 papers

Matrix Liouville equation

V. A. Andreev


Abstract: Generalization of Liouville's equation to the case when the unknown function is a matrix is considered. For it, a Bicklund transformation is constructed and used to find several exact solutions. The question of the linear problem for such a matrix equation is discussed.

Received: 03.04.1989

 English version: Theoretical and Mathematical Physics, 1990, 83:1, 366–372

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