Darboux Transformations to (2+1)-Dimensional Lattice Systems

Chin. Phys. Lett.

2005, Vol. 22

Issue (8): 1825-1828 DOI:

Original Articles

Darboux Transformations to (2+1)-Dimensional Lattice Systems

CHEN Jin-Bing;ZHU Jun-Yi;GENG Xian-Guo

Department of Mathematics, Zhengzhou University, Zhengzhou 450052

Cite this article:

CHEN Jin-Bing, ZHU Jun-Yi, GENG Xian-Guo 2005 Chin. Phys. Lett. 22 1825-1828

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Abstract Two (2+1)-dimensional (3D) lattice systems are proposed in view of the compatibility of 2D lattice systems in the same hierarchy. Furthermore, the Darboux transformation (DT) method is generalized to the case of 3D lattice equations. As a consequence, some exact solutions for the resulting discrete systems are presented.

Keywords: 02.30.Jr

Published: 01 August 2005

PACS:

02.30.Jr

(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I8/01825

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