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
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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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