新的Liouville完全可积的广义Burgers方程族及其Ham ilton 结构  

New Liouville Completely Integrable Hierarchy of Generalized Burgers Equations and its Hamiltonian Structure

作　　者：闫振亚[1] 张鸿庆[1] 

机构地区：[1]大连理工大学数学科学研究所,大连116024

出　　处：《应用数学》1999年第4期41-44,共4页Mathematica Applicata

基　　金：国家自然科学基金;国家攀登计划

摘　　要：基于屠格式，从一个新的等谱问题，本文获得了一族广义Ｂｕｒｇｅｒｓ 方程及其Ｈａｍ ｉｌｔｏｎ 结构．最后证明了该族方程是Ｌｉｏｕｖｉｌｌｅ 完全可积的。In this paper, based on Tu scheme, a hierarchy of generalized Burgers equations and its Hamiltonian structure are obtained from a new isospectral problem. Finally, it is shown that this equation hierarchy is Liouville completely integrable and has a infinite set of common conserved denities which are in involution each another.

关 键 词：等谱问题 BURGERS方程族 哈密顿结构 L完全可积 

分 类 号：O175.26[理学—数学]