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On Bäcklund transformations preserving the Darboux integrability of hyperbolic equations

Startsev, Sergey Ya.
arXiv (All) · Papers
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35l6537k10exactly-solvable-and-integrable-systemsmathematical-physics
This paper deals with two kinds of Bäcklund transformations for scalar hyperbolic partial differential equations. We prove that both these types of transformations map solutions of a Darboux integrable equation into solutions of, generally speaking, another but also Darboux integrable equation. The
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