Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry

Authors:	Junfeng Song Changzheng Qu

Affiliation:	^a Center for Nonlinear Studies, Northwest University, Xi’an, 710069, PR China ^b College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, PR China ^c Department of Mathematics, Northwest University, Xi’an, 710069, PR China

Abstract:	In this paper, the theory for curves in centro-equiaffine symplectic geometry is established. Integrable systems satisfied by the curvatures of curves under inextensible motions in centro-equiaffine symplectic geometry are identified. It is shown that certain non-stretching invariant curve flows in centro-equiaffine symplectic geometry are closely related to the matrix KdV equations and their extension.

Keywords:	Invariant curve flow Integrable system Centro-equiaffine symplectic geometry Matrix KdV equations
本文献已被 ScienceDirect 等数据库收录！