Darboux Transformation and Soliton Solutions of A Nonlinear Coupled Differential-Difference Equation

摘要：

In this paper,a coupled nonlinear differentialdifference 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.

关键词： Nonlinear differential-difference equation Lax pair Darboux transformation Soliton solutions

作者: Wen Xiaoyong

作者单位: Department of Mathematics,School of Sciences,Beijing Information Science and Technology University,Beijing 100192,China

会议类型: 国际会议

会议名称: 2011 International Conference on Opto-Electronics Engineering and Information Science(2011光电电子工程与信息科学国际会议 ICOEIS 2011)

会议地点: 西安

会议语种:英文

页码: 2745-2749

在线出版日期: 2011-12-23（万方平台首次上网日期，不代表论文的发表时间）