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

Published online by Cambridge University Press:  17 February 2009

N. A. Kudryashov  and
M. B. Soukharev
N. A. Kudryashov
Affiliation:
Department of Applied Mathematics, Moscow Engineering and Physics Institute, 31 Kashirskoe shosse, 115409 Moscow, Russia; e-mail: nkud@dpt31.mephi.msk.su.
M. B. Soukharev
Affiliation:
Department of Applied Mathematics, Moscow Engineering and Physics Institute, 31 Kashirskoe shosse, 115409 Moscow, Russia; e-mail: nkud@dpt31.mephi.msk.su.
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Abstract

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

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 1 , July 2002 , pp. 149 - 160
Copyright
Copyright © Australian Mathematical Society 2002

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