The ANZIAM Journal

Research Article

Discrete equations corresponding to fourth-order differential equations of the P2 and K2 hierarchies

N. A. Kudryashova1 and M. B. Soukhareva1

a1 Department of Applied Mathematics, Moscow Engineering and Physics Institute, 31 Kashirskoe shosse, 115409 Moscow, Russia; e-mail: nkud@dpt31.mephi.msk.su.

Abstract

Using the Bäcklund transformations for the solutions of fourth-order differential equations of the P2 and K2 hierarchies, corresponding discrete equations are found.

(Received June 01 2000)

(Revised May 14 2001)