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
出版年:2012
期:8
页码:1250188-1-1250188-11
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.
资源类型:期刊论文
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