DocumentCode
3415718
Title
Darboux transformation and soliton solutions of a nonlinear coupled differential-difference equation
Author
Xiaoyong, Wen
Author_Institution
Dept. of Math., Beijing Inf. Sci. & Technol. Univ., Beijing, China
fYear
2012
fDate
24-26 Aug. 2012
Firstpage
506
Lastpage
509
Abstract
In this paper, a coupled nonlinear differential-difference equation is investigated by the Lax theory and Darboux transformation (DT) technique. The new Lax pair of that system is constructed. Based on the resulting Lax pair, a new DT with two variable parameters is constructed and established. Explicit one-soliton solutions are derived via the DT. Structure figures of the one-soliton solutions are shown graphically.
Keywords
difference equations; nonlinear differential equations; solitons; Darboux transformation technique; Lax pair; Lax theory; nonlinear coupled differential-difference equation; one-soliton solutions; Darboux transformation; Lax pair; Nonlinear differential-difference equation; Soliton solutions;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Information Processing (CSIP), 2012 International Conference on
Conference_Location
Xi´an, Shaanxi
Print_ISBN
978-1-4673-1410-7
Type
conf
DOI
10.1109/CSIP.2012.6308902
Filename
6308902
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