EXACT RESULTS FOR THE NONLINEAR DIFFUSION-EQUATIONS PARTIAL-DIFFERENTIAL-EQUATION-U/PARTIAL-DIFFERENTIAL-EQUATION-T = PARTIAL-DIFFERENTIAL-EQUATION/PARTIAL-DIFFERENTIAL-EQUATION-X(U-4/3 PARTIAL-DIFFERENTIAL-EQUATION-U/PARTIAL-DIFFERENTIAL-EQUATION-X) AND PARTIAL-DIFFERENTIAL-EQUATION-U/PARTIAL DIFFERENTIAL-EQUATION-T = PARTIAL-DIFFERENTIAL-EQUATION/PARTIAL-DIFFERENTIAL-EQUATION-X(U-2/3 PARTIAL-DIFFERENTIAL-EQUATION-U/PARTIAL-DIFFERENTIAL-EQUATION-X)

被引:26
|
作者
KING, JR
机构
来源
关键词
D O I
10.1088/0305-4470/24/24/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We exploit local and non-local symmetries of the two equations of the title and of some related equations. Some new exact solutions are derived and some specific boundary value problems of physical significance are considered.
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页码:5721 / 5745
页数:25
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