Bi-Hamiltonian Structure of a Third-Order Nonlinear Evolution Equation on Plane Curve Motions

作     者：REN Wen-Xiu Alatancang 

作者机构：Department of Mathematics Inner Mongolia University Hohhot 010021 China Department of Mathematics Inner Mongolia University of Technology Hohhot 010051 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第48卷第2X期

页      面：211-214页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10562002 and the Natural Science Foundation of Inner Mongolia under Grant No. 200508010103 

主　　题：nonlinear evolution equation bi-Hamiltonian structure hereditary operator integrability 

摘      要：In the present paper, we identify the integrability of the third-order nonlinear evolution equation ut = （1/2）（（uxz ＋ u）^-2）z in a Hamiltonian viewpoint. We prove that the recursion operator obtained by ***. Sakovich is hereditary, and then deduce a bi-Hamiltonian structure of the equation by using some decomposition of the hereditary operator. A hierarchy associated to the equation is also shown.