NONINTEGRABILITY OF NONLINEAR DIFFUSION CONVECTION EQUATIONS IN 2 SPATIAL DIMENSIONS

被引:16
作者
BROADBRIDGE, P
机构
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1986年 / 19卷 / 07期
关键词
D O I
10.1088/0305-4470/19/7/025
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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页码:1245 / 1257
页数:13
相关论文
共 26 条
[1]   TWO-DIMENSIONAL BURGERS-EQUATION [J].
BARTUCCELLI, M ;
PANTANO, P ;
BRUGARINO, T .
LETTERE AL NUOVO CIMENTO, 1983, 37 (12) :433-438
[2]   ON THE REMARKABLE NON-LINEAR DIFFUSION EQUATION (DELTA-DELTA-X)(A(U+B)-2(DELTA-U-DELTA-X))-(DELTA-U-DELTA-T) = 0 [J].
BLUMAN, G ;
KUMEI, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1019-1023
[3]  
BROADBRIDGE P, 1985, UNPUB NONLINEAR DIFF
[4]   BURGERS-EQUATION - APPLICATION TO FIELD CONSTANT-FLUX INFILTRATION [J].
CLOTHIER, BE ;
KNIGHT, JH ;
WHITE, I .
SOIL SCIENCE, 1981, 132 (04) :255-261
[5]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[6]   ANALYTICALLY SOLVABLE DYNAMICAL-SYSTEMS WHICH ARE NOT INTEGRABLE [J].
ECKHARDT, B ;
FORD, J ;
VIVALDI, F .
PHYSICA D, 1984, 13 (03) :339-356
[7]   A SYMMETRY APPROACH TO EXACTLY SOLVABLE EVOLUTION-EQUATIONS [J].
FOKAS, AS .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (06) :1318-1325
[8]   ON THE EXACTLY SOLVABLE EQUATION ST=[(BETAS+GAMMA)-2SX]X+ALPHA(BETAS+GAMMA)-2SX OCCURRING IN 2-PHASE FLOW IN POROUS-MEDIA [J].
FOKAS, AS ;
YORTSOS, YC .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (02) :318-332
[10]   THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].
HOPF, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230