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A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations |
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| Authors: | Zhang Zhi-Yong Yong Xue-Lin and Chen Yu-Fu |
| Institution: | School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China; Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China |
| Abstract: | A novel method for obtaining the approximate symmetry of a partial differential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter series, we obtain more affluent approximate symmetries. The method is applied to two perturbed nonlinear partial differential equations and new approximate solutions are derived. |
| Keywords: | approximate symmetry approximate solutions expansion perturbed equation |
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