On some differential invariants for a family of diffusion equations

被引：20

作者：

Gandarias, M. L.

Torrisi, M.

Tracina, R.

机构：

[1] Univ Cadiz, Dept Matemat, E-11510 Puerto Real, Spain

[2] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 30期

关键词：

D O I：

10.1088/1751-8113/40/30/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The equivalence transformation algebra LE and some of its differential invariants for the class of equations ut = (h( u) u(x))(x) + f (x, u, ux) (h not equal 0) are obtained. Using these invariants, we characterize subclasses which can be mapped by means of an equivalence transformation into the well- studied family of equations vt = (v(k)v(x)) x.

引用

页码：8803 / 8813

页数：11

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