This article is cited in 1 paper

Matrix sine-Gordon equation

V. A. Andreev


Abstract: A generalization of the sine-Gordon equation to the case when the unknown function is a matrix is considered. For it, Bäcklund transformations are constructed and used to find several exact solutions. The algebraic structure of the linear problem associated with this equation is studied. A connection between matrix Toda chains and self-dual Yang–Mills equations is found.

Received: 26.12.1989

 English version: Theoretical and Mathematical Physics, 1990, 84:3, 920–929

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