摘  要：In most cases, the lump wave will collide with line waves and breather waves in the hybrid solutions for (2+1)-dimensional integrable systems. However, this study introduces a new constraint condition to construct a nonlinear superposition in which the lump wave does not collide with other waves forever. In particular, the soliton molecule consisting of a lump wave, a line wave and any number of breather waves is derived for the first time by the continued introduction of velocity resonance. The new constraints mentioned in this paper will break the traditional understanding of the interaction between a lump and other waves. And this method can be extended to other (2+1)-dimensional integrable systems.

报告人简介：李彪，李宁波大学数学与统计学院，教授，博士生导师，浙江省151人才工程”（第三层次）、宁波市“4321” 人才工程（第二层次）。主要从事数学物理，Lie群及其在微分方程中的应用，数学机械化等领域的研究工作。已在SCI系统发表学术论文100余篇，发表论文已被SCI他引1000多次。主持完成国家自然科学基金3项，中国博士后基金1项，浙江省自然科学基金2项。参与完成国家自然科学基金和省、市自然科学基金多项。现参加国家自然科学基金重点项目一项，主持国家自然科学基金面上1项。

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