中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2629-2633.doi: 10.1088/1674-1056/18/7/002
雍雪林1, 张智勇2, 陈玉福2
Zhang Zhi-Yong(张智勇)a)†, Yong Xue-Lin(雍雪林)b), and Chen Yu-Fu(陈玉福)a)
摘要: 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.
中图分类号: (Partial differential equations)