报告时间：2022年04月26日（星期二）14:00-15:00

报告地点：腾讯会议：845601604

报 告 人：楼森岳 教授

工作单位：宁波大学

举办单位：数学学院

报告简介：

        The well known BKP hierarchy and the dispersionless BKP (dBKP) hierarchy are rewritten via mastersymmetry approach for their potential forms. For the potential BKP hierarchy, a decomposition conjecture is proposed: there are some different types of decomposition solutions including three types of different KdV and high order KdV decompositions for every order potential BKP equations. The decomposition conjecture is proved for the fifth, seventh and ninth order BKP equations. There are three types of special linear superpositions for every equation of the BKP hierarchy. For the potental dBKP hierarchy, the similar decomposition and linear superposition phenomena are also studied. The possible superposition ways increase rapidly as the order of the dBKP equation arises. The decomposition and linear superposition  phenomena may be found for other nonlinear systems such as the second and general heavenly equations.

报告人简介：

楼森岳，宁波大学物理科学与技术学院教授，博士生导师，国家杰出青年科学基金项目获得者，国家“百千万人才工程一、二层次人选”，国家有突出贡献中青年科技专家。长期从事数学物理、非线性科学、应用数学、大气和海洋动力学、计算机代数等方向的研究，主持完成国家自然科学基金重点项目、重大研究计划项目、面上项目等十多项重要科研项目，获得教育部自然科学一等奖等省部级科技奖六项。已在PRL、JHEP、PRD、PRB、PRE和中国科学等国内外重要期刊上发表300余篇SCI论文，SCI他引9000余次。