Title :
Darboux transformation and soliton solutions of a nonlinear coupled differential-difference equation
Author_Institution :
Dept. of Math., Beijing Inf. Sci. & Technol. Univ., Beijing, China
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;
Conference_Titel :
Computer Science and Information Processing (CSIP), 2012 International Conference on
Conference_Location :
Xi´an, Shaanxi
Print_ISBN :
978-1-4673-1410-7
DOI :
10.1109/CSIP.2012.6308902
