Backlund transformations for the Nizhnik-Novikov-Veselov equation

preprint2004arXivOpen access

Abstract

The Backlund transformations for the Nizhnik-Novikov-Veselov equation are presented. It is shown that these transformations can be iterated and that the resulting sequence can be described by the Volterra equations. The relationships between the Nizhnik-Novikov-Veselov equation and the Volterra hierarchy are discussed.

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