A NEW APPROACH TO SOLVE PERTURBED NONLINEAR EVOLUTION EQUATIONS THROUGH LIE-B■CKLUND SYMMETRY METHOD  

作　　者：Niu Xiaohua Pan Zuliang 

机构地区：[1]Dept. of Math. , Jimei Univ. , Xiamen 361021, China. [2]Dept. of Math. , Zhejiang Univ. , Hangzhou 310027, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2006年第1期45-51,共7页高校应用数学学报（英文版）（B辑）

摘　　要：A new method based on Lie-Backlund symmetry method to solve the perturbed nonlinear evolution equations is presented. New approximate solutions of perturbed nonlinear evolution equations stemming from the exact solutions of unperturbed equations are obtained. This method is a generalization of Burde＇s Lie point symmetry technique.A new method based on Lie-Backlund symmetry method to solve the perturbed nonlinear evolution equations is presented. New approximate solutions of perturbed nonlinear evolution equations stemming from the exact solutions of unperturbed equations are obtained. This method is a generalization of Burde＇s Lie point symmetry technique.

关 键 词：symmetry method nonlinear evolution equation approximate solution. 

分 类 号：O175[理学—数学]