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| A NEW APPROACH TO SOLVE PERTURBED NONLINEAR EVOLUTION EQUATIONS THROUGH LIE-BACKLUND SYMMETRY METHOD | |
| 引用本文： | Niu Xiaohua Pan Zuliang. A NEW APPROACH TO SOLVE PERTURBED NONLINEAR EVOLUTION EQUATIONS THROUGH LIE-BACKLUND SYMMETRY METHOD[J]. 高校应用数学学报(英文版), 2006, 21(1): 45-51. DOI: 10.1007/s11766-996-0021-4 |
| 作者姓名： | Niu Xiaohua Pan Zuliang |
| 作者单位： | [1]Dept. of Math. , Jimei Univ. , Xiamen 361021, China. [2]Dept. of Math. , Zhejiang Univ. , Hangzhou 310027, China. |
| 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. |
| 关 键 词： | 非线性进化方程 近似解 对称法 精确解 扰动方程 |
| 收稿时间： | 2004-08-04 |
A new approach to solve perturbed nonlinear evolution equations through lie-backlund symmetry method |
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| 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): 45-51. DOI: 10.1007/s11766-996-0021-4 | |
| Authors: | Niu Xiaohua Pan Zuliang |
| Affiliation: | (1) Dept. of Math., Jimei Univ., 361021 Xiamen, China;(2) Dept. of Math., Zheijiang Univ., 310027 Hangzhou, China |
| Abstract: | A new method based on Lie-Bäcklund 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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