报告摘要：

  First, we derive the non-isospectral AKNS equations from zero curvature equation. With the help of a Loop algebra A , new non-isospectral integrable couplings of the AKNS equations are estabished. Then the bilinear form for the non-isospectral AKNS equation by introducing a suitable transformation of the potential function is derived. The N-soliton solutions and double Wronskian solution are obtained through Hirota's method and Wronskian technique, respectively. By reducing, a non-isospectral Schrodinger equation is yielded and the multi-soliton solutions are estabished. Furthermore, the general double Wronskian solutions of non-isospectral AKNS equation and non-isospectral Schrodinger equation are constructed.

报告时间： 2006年10月25日(周三) 下午4:00--5:00

报告地点：科技综合楼三层311报告厅