New models for multi-dimensional stable vortex solitons

作     者：Hidetsugu Sakaguchi 

作者机构：Nonlinear Physics Laboratory Department of Advanced Energy Science and Engineering Kyushu University Japan 

出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)

年 卷 期：2019年第14卷第1期

页      面：91-92页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Japan Society for the Promotion of Science  JSPS  (18K03462) 

主　　题：multi-dimensional stable vortex solitons D.Korteweg G.de Vries 

摘      要：Solitons are stable solitary *** 1834,Scott Russel first observed such a solitary water wave in a narrow channel near *** 1895,*** and *** Vries had derived the Korteweg-de Vries (KdV)equations for waves on shallow water *** 1965,*** and *** had demonstrated the stability of the solitary waves in the Korteweg-de Vries equation using numerical simulations,and coined the term soliton.In 1967,Gardner, Greene,Kruskal,and Miura had discovered the mathematical technique of the inverse scattering transform to find analytical solutions to the KdV equation in a systematic manner,and the KdV equation was thus recognized as a paradigmatic integrable partial differential equation.