Homographic Solutions of the N-body Generalized Lennard-Jones System  

作　　者：Bo Wen LIU 

机构地区：[1]School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,P.R.China [2]Chern Institute of Mathematics,Nankai University,Tianjin 300071,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第5期597-604,共8页数学学报（英文版）

基　　金：Partially supported by NSFC(Grant Nos.11131004 and 11671215);Sino-German(CSC-DAAD)Postdoc Scholarship Program(Grant Nos.201800260010 and 91696544)funded by China Scholarship Council and Deutscher Akademischer Austausch Dienst。

摘　　要：In this paper,we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the(2+N)-and(3+N)-body problems of the Lennard-Jones system.These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation.

关 键 词：Homographic SOLUTION LENNARD-JONES potential NON-PLANAR CIRCULAR SOLUTION 

分 类 号：O175[理学—数学]