Multidimensional Solitons
数学专题报告
报告题目(Title)：Multidimensional Solitons
报告人(Speaker)：Boris Malomed (Tel Aviv University, Israel)
地点(Place)：教四111
时间(Time)：11月15日（周五），14:30-15:30
邀请人(Inviter)：王灯山
报告摘要
It is commonly known that the interplay of linear and nonlinear effects gives rise to solitons, i.e., self-trapped localized structures, in a wide range of physical settings, including optics, Bose-Einstein condensates (BECs), hydrodynamics, plasmas, condensed-matter physics, etc. Nowadays, solitons are considered as an interdisciplinary class of modes, which feature diverse internal structures. While most experimental realizations and theoretical models of solitons have been elaborated in one-dimensional (1D) settings, a challenging issue is prediction of stable solitons in 2D and 3D media. In particular, multidimensional solitons may carry an intrinsic topological structure in the form of vorticity. In addition to the "simple" vortex solitons, fascinating objects featuring complex structures, such as hopfions, i.e., vortex rings with internal twist, have been predicted too. A fundamental problem is the propensity of multidimensional solitons to be unstable (naturally, solitons with a more sophisticated structure, such as vortex solitons, are more vulnerable to instabilities). Recently, novel perspectives for the creation of stable 2D and 3D solitons were brought to the attention of researchers in optics and BEC. The present talk aims to provide an overview of the main results and ongoing developments in this vast field. An essential conclusion is the benefit offered by the exchange of concepts between different areas, such as optics, BEC, and hydrodynamics.
A thorough survey of the topic is provided in a new book:
B. A. Malomed, "Multidimensional Solitons" (American Institute of Physics, Melville, NY, 2022). Recent review articles and a book on the subject are available too: Y. Kartashov, G. Astrakharchik, B. Malomed, and L. Torner, Frontiers in multidimensional self-trapping of nonlinear fields and matter, Nature Reviews Physics 1, 185-197 (2019)
B. A. Malomed, (INVITED) Vortex solitons: Old results and new perspectives,
Physica D 399, 108-137 (2019);
Z. Luo, W. Pang, B. Liu, Y. Li, and B. A. Malomed, A new form of liquid matter:
quantum droplets, Front. Phys. 16, 32501 (2021);
B. A. Malomed, Multidimensional dissipative solitons and solitary vortices,
Chaos, Solitons & Fractals 163, 112526 (2022);
B. A. Malomed, Multidimensional Soliton Systems, Advances in Physics: X 9:1,
2301592 (2024);
B. A. Malomed, Multidimensional solitons (a book), AIP (American Institute of Physics) Publishing, Melville, NY, 2022.
主讲人简介
Prof. Boris Malomed was born in Minsk (Belarus). He had received MS in physics from the Belorussian State University (Minsk) in 1977, PhD in theoretical physics from the Moscow Institute of Physics and Technology in 1981, and the Doctor of Sciences degree (habilitation) in theoretical physics from the N. N. Bogoliubov Institute for Theoretical Physics, Ukrainian Academy of Sciences (Kiev) in 1989. Till 1991, he was a senior researcher at the Institute for Oceanology of the Russian Academy of Sciences (Moscow). Since 1991, he was an Associate Professor, and since 1998 a Full Professor at the Tel Aviv University. Since 2015, he is a holder of a personal research chair "Optical solitons" funded by the Tel Aviv University. He has published 1,200+ papers and four books. His h-index is 89 (Web of Science) / 93 (Scopus)/ 107 (Google Scholar). He is an editor of three major international journals: Physics Letters A, Chaos, Solitons & Fractals, and Scientific Reports, and an Editorial Board member of Journal of Optics, Symmetry, Photonics, Optics Communications, Chaos, and PLOS ONE. He has been an advisor to 31 MS students, 14 PhD students, and 11 postdocs. He is a Senior Member of the Optical Society of America (recently renamed to Optica), and a Foreign Member of the Serbian Academy of Nonlinear Sciences.
