报告主题:孤立子气理论的介绍
主讲人:王福东助理教授(大湾区大学)
主持人:吴成发
时 间:2024年7月11日周四15:30
地 点:深圳大学致知楼706
嘉宾简介:
王福东,助理教授,现任职于大湾区大学。研究方向包括孤子理论(非线性薛定谔方程、孤子气理论)、矩阵李曼希尔伯特问题、渐进态分析以及位势论。在Journal of Physics A, Journal of Nonlinear Science, Studies in Applied Math等期刊发表文章8篇。
报告摘要:
Solitons are fundamental in nonlinear wave theory, particularly in understanding wave dynamics through integrable nonlinear equations featuring N-soliton solutions. This presentation focuses on the soliton gas, which represents an infinite-soliton solution. We discuss two primary methods for constructing the soliton gas: the inverse scattering method and the approach via Riemann surfaces. Recent research advancements in soliton gas theory are also explored, including investigations into the long-time asymptotics of soliton gas solutions, averaged conservation laws of soliton gases, and the kurtosis properties of specific soliton gas configurations.
![](/__local/8/5E/89/7962138166FFF49FE5922FD6996_2A80AFC1_917C3.jpg)