摘要
由物理化学导出了一个变色散系数的非线性色谱方程,给出了它与线性色谱方程之间的联系及它的自-Backlund变换.证明了非线性色谱方程的初值问题和半直线(x≥0)上的(线性和非线性)边值一初值问题的解可借助线性色谱方程相应的线性问题的解去构造.
An equation of nonlinear chromatography is derived. The relationship between the linear and nonlinear chromatography equation and an auto-backlund transformation for the nonlinear chromatography equation are given. It is proved that the solutions of initial value problem on whole straight line and two boundary-initial value problems on the semiline for the nonlinear chromatography equation can be constructed by means of the solutons of the corresPOnding problems for the linear chromatography equation.
出处
《烟台大学学报(自然科学与工程版)》
CAS
1996年第1期7-13,21,共8页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
甘肃省自然科学基金
关键词
非线性
色谱方程
初值问题
物理化学
变色散系数
nonlinear chromatography equation
aicklund transformation
initial value problem
nonlinear boundary-initial value problems