离散位势KdV方程的多维相容性  

Multi-dimendional consistency of discrete potential KdV equations

作　　者：贾晓静[1] 蓝师义[1] 

机构地区：[1]广西民族大学理学院,广西南宁530006

出　　处：《高校应用数学学报（A辑）》2013年第1期63-71,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11161004);广西自然科学基金(0991081);广西混杂计算重点实验室基金

摘　　要：众所周知四边形图上的离散位势KdV方程具有三维相容性,该文利用三维相容性的结果,证明了离散KdV方程具有四维和五维相容性;并讨论了四边形图上一般离散方程的多维四面体性质.It is known that discrete potential Korteweg-de Vries equation（dpKdV） on quad- graphs prossesses three-dimensional consistency. In this paper, four-dimensional consistency property and five-dimensional one of discrete Korteweg-de Vries equation are proved using the former result. Multi-dimensional tetrahedron property of general discrete equations on quad-graphs is discussed. Keywords： discrete integrable system; KdV equation; consistency

关 键 词：离散可积系统 KDV方程 相容性 

分 类 号：O175.2[理学—数学]