非线性偏微分方程之间的Miura变换  

The Miura transformation between nonlinear partial differential equations

作　　者：张亚敏[1,2] 闫荣[1] 

机构地区：[1]西北大学数学系,陕西西安710127 [2]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《高师理科学刊》2009年第6期25-27,共3页Journal of Science of Teachers＇College and University

摘　　要：为了找出uxxx=p(u)+q(u)ux+ut之间新的Miura变换,推出了uxxx=p(u)+q(u)ux+ut的可积系统,导出了方程之间的Miura变换,并举例运用Miura变换,由方程的已知解u求出另一方程的解φ,同时由方程的已知Backlund变换求出另一方程的Backlund变换.A new integrable system associated withuxxx=p（u）＋q（u）ux ＋ ut was obtained for looking for a new Miura transformation from nonlinear partial differential equationuxxx=p（u）＋q（u）ux ＋ u t to other nonlinear partial differential equation.The Miura transformation was found,for some examples,by applying Miura transformation,solutionφ from known solutionu and a Backlund transformation for a nonlinear partial differential equation was gained.

关 键 词：Minra变换 BACKLUND变换 可积系统 

分 类 号：O175.29[理学—数学]