On the Chaplygin system on the sphere with velocity dependent potential

被引：18
|
作者：
Tsiganov, A. V. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2015年 / 92卷
关键词：
Lax matrices; Hamilton-Jacobi equation; Separation of variables; Integrable systems on the sphere; LAX PAIRS; DEFORMATIONS; KOWALEVSKI;
D O I：
10.1016/j.geomphys.2015.02.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss how to get variables of separation, separated relations and the Lax matrix for the Chaplygin system on the sphere with velocity dependent potential starting with the Lax matrix for other integrable system separable in elliptic coordinates.on the sphere. (C) 2015 Elsevier B.V. All rights reserved.
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页码：94 / 99
页数：6
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