PRELIMINARY GROUP CLASSIFICATION OF EQUATION vt=f(x, vx)v(xx)+g(x, vx)

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 255-261.

PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)

屈长征

Department of Mathematics, Northwest University, Xi'an 710069, China

收稿日期:1995-09-01 修回日期:1996-01-08 出版日期:1997-09-25 发布日期:1997-09-25

PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)

Qu Changzheng

Department of Mathematics, Northwest University, Xi'an 710069, China

Received:1995-09-01 Revised:1996-01-08 Online:1997-09-25 Published:1997-09-25

摘要/Abstract

摘要： Using the method of preliminary group classification introduced by Ibragimov et al[J.Math.Phys.32,2988(1991)], we give a classification of equations v_t=f(x, v_x)v_xx+g(x, v_x) 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.

屈长征. PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)[J]. 数学物理学报(英文版), 1997, 17(3): 255-261.

Qu Changzheng. PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)[J]. Acta mathematica scientia,Series B, 1997, 17(3): 255-261.

PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)

PRELIMINARY GROUP CLASSIFICATION OF EQUATION v_t=f(x, v_x)v(_xx)+g(x, v_x)

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