2009•Chinese Physics BRequires access
A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations
Zhi‐Yong Zhang, Yong Xue-Lin, Yufu Chen
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Abstract
A novel method for obtaining the approximate symmetry of a partial difierential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter series, we obtain more a†uent approximate symmetries. The method is applied to two perturbed nonlinear partial difierential equations and new approximate solutions are derived.