Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions

Chin. Phys. Lett.

2006, Vol. 23

Issue (6): 1361-1364 DOI:

Original Articles

Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions

LI Wen-Min^1,2;GENG Xian-Guo¹

¹Department of Mathematics, Zhengzhou University, Zhengzhou 450052 ²College of Life Sciences, the Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100

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LI Wen-Min, GENG Xian-Guo 2006 Chin. Phys. Lett. 23 1361-1364

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Abstract The Darboux transformation of a differential--difference equation associated with a 3×3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential--difference equation are presented.

Keywords: 02.30.Jr

Published: 01 June 2006

PACS:

02.30.Jr

(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I6/01361

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