数学与系统科学研究院

计算数学所学术报告

报告人：        Zeng Yunbo

Tsinghua University

报告题目 On the soliton equations with self-consistent sources

Abstract: The soliton equation with self-consistent (SESCS) has very important physical application. Soliton solutions for some SESCSs were obtained via Inverse Scattering Transformation by Melnikov. We present the Lax representation for the SESCSs and describe them as infinite-dimensional Hamiltonian systems. By generalizing the normal Darboux transformation (DT), we construct the binary DT with arbitrary time functions for the SESCSs. This kind of DT provides non-auto Backlund transformation for two SESCSs with different digrees and anable us to find various solution for the SESCSs such as soliton solutions, Positon solutions and Negaton solutions.

报告时间：2004年1月8日  下午4：00

报告地点：科技综合楼三层报告厅