PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v_(xx)+g(x, v_x)

作     者：屈长征 Qu Changzheng (Department of Mathematics, Northwest University, Xi’an 710069, China)

作者机构：Department of Mathematics Northwest University Xi'an 710069 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：1997年第17卷第3期

页      面：255-261页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：SYMMETRY CLASSES COEFFICIENT 

摘      要：Using the method of preliminary group classification introduced by Ibragimov et al[***.32,2988(1991)], we give a classification of equations vt= f(x, vx)vxx+g(x, vx) which admitting an extension by one of the principal Lie algebra of the equation. The result of this paper is a table of nonequivalent equations possessing an additional symmetry.