CLASSICAL SYMMETRY REDUCTIONS OF NONLINEAR DIFFUSION CONVECTION EQUATIONS

被引:39
作者
EDWARDS, MP
机构
[1] Department of Mathematics, University of Wollongong, Wollongong
关键词
D O I
10.1016/0375-9601(94)90068-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An exhaustive classical symmetry analysis is carried out for the general class of nonlinear diffusion-convection in (1 + 1) dimensions, and the corresponding optimal system is found for every case with extra symmetries. The invariants are found for the nontrivial generators of each optimal system, and reduction is made to an ordinary differential equation. New symmetries and new reductions are found.
引用
收藏
页码:149 / 154
页数:6
相关论文
共 15 条
[1]  
Bluman G. W., 1989, SYMMETRIES DIFFERENT
[2]   CONSTANT RATE RAINFALL INFILTRATION IN A BOUNDED PROFILE - SOLUTIONS OF A NONLINEAR MODEL [J].
BROADBRIDGE, P ;
KNIGHT, JH ;
ROGERS, C .
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL, 1988, 52 (06) :1526-1533
[3]  
Galaktionov V.A., 1988, J SOVIET MATH, V41, P1222
[4]  
KATOANGA TL, 1992, THESIS MONASH
[5]   SPATIAL VARIABILITY OF FIELD-MEASURED SOIL-WATER PROPERTIES [J].
NIELSEN, DR ;
BIGGAR, JW ;
ERH, KT .
HILGARDIA, 1973, 42 (07) :215-259
[6]  
OLVER PJ, 1986, APPLICATIONS LIE GRO
[7]   SOME SYMMETRIES OF THE NONLINEAR HEAT AND WAVE-EQUATIONS [J].
ORON, A ;
ROSENAU, P .
PHYSICS LETTERS A, 1986, 118 (04) :172-176
[8]  
Ovsiannikov L. V., 1982, GROUP ANAL DIFFERENT
[9]   EXACT-SOLUTIONS FOR REDISTRIBUTION BY NONLINEAR CONVECTION-DIFFUSION [J].
PHILIP, JR .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1992, 33 :363-383
[10]   A TRIANGULARIZATION ALGORITHM WHICH DETERMINES THE LIE SYMMETRY ALGEBRA OF ANY SYSTEM OF PDES [J].
REID, GJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (17) :L853-L859