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解扰动非线性发展方程的Lie-B(a)cklund方法
引用本文:牛晓花,潘祖梁.解扰动非线性发展方程的Lie-B(a)cklund方法[J].高校应用数学学报(英文版),2006,21(1).
作者姓名:牛晓花  潘祖梁
摘    要:


A NEW APPROACH TO SOLVE PERTURBED NONLINEAR EVOLUTION EQUATIONS THROUGH LIE-BACKLUND SYMMETRY METHOD
Niu Xiaohua,Pan Zuliang.A NEW APPROACH TO SOLVE PERTURBED NONLINEAR EVOLUTION EQUATIONS THROUGH LIE-BACKLUND SYMMETRY METHOD[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1).
Authors:Niu Xiaohua  Pan Zuliang
Abstract:A new method based on Lie-B(a)cklund 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.
Keywords:symmetry method  nonlinear evolution equation  approximate solution
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