Invariants of linear parabolic differential equations

被引：9
|
作者：
Ibragimov, N. H. [2 ]
Meleshko, S. V. [1 ]
Thailert, E. [1 ]
机构：
[1] Suranaree Univ Technol, Sch Math, Inst Sci, Nakhon Ratchasima 30000, Thailand
[2] Blekinge Inst Technol, Res Ctr ALGA, Dept Math & Sci, SE-37179 Karlskrona, Sweden
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 02期
关键词：
parabolic equations; equivalence transformation; semi-invariants; invariants;
D O I：
10.1016/j.cnsns.2006.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is dedicated to construction of invariants for the parabolic equation u(t) + a(t, x)u(xx) + b(t, x)u(x) + c(t, x)u = 0. We consider the equivalence group given by point transformations and find all invariants up to seventh-order, i.e. the invariants involving the derivatives up to seventh-order of the coefficients a, b and c with respect to the independent variables t, x. (c) 2006 Elsevier B.V. All rights reserved.
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页码：277 / 284
页数：8
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