Discrete equations corresponding to fourth-order differential equations of the $P_2$ and $K

ANZIAM J. 44 (2002), 149-160

Discrete equations corresponding to fourth-order differential equations
of the and hierarchies

N. A. Kudryashov
Department of Applied Mathematics
Moscow Engineering and Physics Institute
31 Kashirskoe shosse
115409 Moscow
Russia
nkud@dpt31.mephi.msk.su

and

M. B. Soukharev
Department of Applied Mathematics
Moscow Engineering and Physics Institute
31 Kashirskoe shosse
115409 Moscow
Russia

Abstract

Using the Bäcklund transformations for the solutions of fourth-order differential equations of the

and

hierarchies, corresponding discrete equations are found.

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