05-13【闻小永】管楼1418 数学物理系列报告之2025-07

发布者:唐慧发布时间:2025-05-12浏览次数:10

题目:Hodograph transformation and various localized wave solutions for the complex Wadati-Konno-Ichikawa-II equation


报告人:闻小永教授(北京信息科技大学)


时间:2025年5月13日(周二)上午10:00—11:00


地点:管理科研楼1418教室


摘要:In this study, we investigate the second type of complete integrable complex Wadati–Konno Ichikawa-II (cWKI-II) equation. We first study the conservation laws and construct the hodograph transformation for this equation. Based on the resulting transformation, we construct a new two component associated cWKI-II equation, which is completely equivalent to the cWKI-II equation. Based on the corresponding Lax pair for this new associated equation, we construct its N-fold Darboux transformation and generalized (m,N−m)-fold Darboux transformation, from which various localized wave solutions are given and shown graphically.