Abstract—It is very important to specify the forms of arbitrary parameters in differential equations. The procedure for performing this task is known as Lie symmetry classification. The main technique used to analyze the symmetry classification problems is the traditional Lie's algorithm. In this paper, symmetry classifications of KP equation and Hopf equation are given.

Index Terms—Differential equations, arbitrary parameters , Lie symmetry, symmetry classification.

Bai Yushan is with the College of Sciences of Inner Mongolian University of Technology Hohhot 010051, P.R.C. (e-mail: mbaiyushan@imut.edu.cn).

Cite: Bai Yushan, "Symmetry Classifications of Differential Equations with Arbitrary Parameters," International Journal of Applied Physics and Mathematics vol. 4, no. 1, pp. 38-41, 2014.