【报告题目】非线性薛定谔方程的相互作用解
【报 告 人】程雪苹 副教授，浙江海洋大学
【报告时间】7月31日上午10:00-11:30
【报告地点】科技楼29-414
【报告摘要】The nonlinear Schrodinger (NLS) equation is widely used in natural science. Various nonlinear excitations of the NLS equation have been found by many methods. However, except for the soliton-soliton interactions, it is very difficult to find interaction solutions between different types of nonlinear excitations. In this paper, the symmetry reduction method is further developed to find interaction solutions between solitons and other types of NLS waves. Especially, the soliton-cnoidal wave interaction solutions are explicitly studied in terms of the Jacobi elliptic functions and the third type of incomplete elliptic integrals. Some special concrete interaction solutions and their asymptotic behaviors are discussed both in analytical and graphical ways.
