Riccati方程与(2+1)维非线性物理模型的分离变量解  

Riccati Equation and the Variable Separation Solution of (2+1)-Dimensional Nonlinear Physical Models

作　　者：马正义[1] 

机构地区：[1]浙江丽水学院数学系

出　　处：《数学的实践与认识》2005年第12期170-173,共4页Mathematics in Practice and Theory

基　　金：浙江省"151人才工程"基金;浙江省自然科学基金(批准号:100039)资助的课题

摘　　要：对于(2+1)维非线性物理模型,欲获其解并非易事.本文试图在变量分离法中,通过设定的R iccati方程来得到方程的解.同时,以(2+1)维Bo iti-L eon-M anna-P em p inelli方程和Burgers方程为例来说明之.To the （2＋1）-dimensional nonlinear physical models, it is a difficult task for us to obtain their universal solutions, in the paper, we try to get some solutions through a given Riccati equation in the variable separation approach, At the same time, we take the （2＋）-dimensional Boiti-Leon-Manna-Pempinelli equation and Burgers equation as examples to illustrate the method.

关 键 词：非线性物理模型 变量分离法 RICCATI方程 

分 类 号：O415[理学—理论物理]