两类可化为U_t=U_(xx)形式的非线性偏微分方程  

TWO KINDS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS REDUCIBLE TO THE EQUATION OF THE FORM U_T= U_(XX)

作　　者：李艳青 黄得建[1] 

机构地区：[1]海南热带海洋学院海洋信息工程学院,海南三亚572022 [2]东北师范大学数学与统计学院,吉林长春130024

出　　处：《南阳理工学院学报》2017年第4期124-126,共3页Journal of Nanyang Institute of Technology

基　　金：琼州学院青年教师科研基金资助项目(QYQN201519);琼州学院青年教师科研基金资助项目(QYQN201520)

摘　　要：在解决部分微分方程反问题时,往往通过某种变换将含未知参数的方程化为形式更为简单的微分方程,然后通过一定的方法来解决反问题。文中应用几种变换将两类非线性偏微分方程化为方程U_t=U_(xx)的形式,从而更有利于解决微分方程中的反问题。When solving the inverse problems of some partial differential equations,the equations with unknown parameters are changed into more simple differential equations by some kinds of transformation,and then the inverse problem can be solved by a certain method.In this paper,two kinds of nonlinear partial differential equations are reduced to the equation with the form Ut= Uxxvia several transformation Thus,it is more favorable to solve the inverse problem of partial differential equation.

关 键 词：反问题 偏微分方程 变换 非线性 

分 类 号：O241[理学—计算数学]