标题：Symmetry and conservation law classification and exact solutions to the generalized kdv types of equations
作者：Liu, H.;Li, J.;Liu, L.
作者机构：School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China;Department of Mathematics, Zhejiang Nor
来源：International journal of bifurcation and chaos in applied sciences and engineering
关键词：conservation law;exact analytic solution;generalized KdV equation;multiplier;Symmetry classification
摘要：In this paper, complete geometric symmetry and conservation law classification of the generalized KdV types of equations are investigated. All of the geometric vector fields and second-order multipliers for the equations are obtained, and the corresponding conservation laws of the equations are presented explicitly. These comprise all of the second-order conservation laws for the equations. Furthermore, an analytic method is developed for dealing with the exact solutions to the generalized nonlinear partial differential equations with composite function terms.