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

作　　者：REN Wen-Xiu Alatancang 

机构地区：[1]Department of Mathematics, Inner Mongolia University, Hohhot 010021, China [2]Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China

出　　处：《Communications in Theoretical Physics》2007年第2X期211-214,共4页理论物理通讯（英文版）

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

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 S.Yu. 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.

关 键 词：nonlinear evolution equation bi-Hamiltonian structure hereditary operator INTEGRABILITY 

分 类 号：O411.1[理学—理论物理]