Discrete equations corresponding to fourth-order differential equations of the P2 and K2 hierarchies-Reference-Cited by-同舟云学术

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

Published:2002-07 Issue:1 Volume:44 Page:149-160
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

Kudryashov N. A.,Soukharev M. B.

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference29 articles.

1. Integrable maps

2. Integrable mappings and soliton equations

3. A study of the alternate discrete Painlevé II equation

4. Two hierarchies of ordinary differential equations and their properties

5. Transcendents defined by nonlinear fourth-order ordinary differential equations

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the properties of solutions of equations in the K 2 hierarchy;Differential Equations;2008-02

2. On fourth-order nonlinear differential equations with the Painlevé property;Differential Equations;2006-08

3. Hierarchies of Difference Equations and Bäcklund Transformations;Journal of Nonlinear Mathematical Physics;2003

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