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Invariant Groups and Invariant Solutions of Equation uxx+uyy+λup=0 on Jet Bundle R3(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年01期
Page:
35-38
Research Field:
数学
Publishing date:

Info

Title:
Invariant Groups and Invariant Solutions of Equation uxx+uyy+λup=0 on Jet Bundle R3
Author(s):
He Mei
Department of Mathematics,Huaiyin Teachers College,Huaian 223300,China
Keywords:
jet space symm etry g roup g roup- invar iant so lution infin itesim al generator
PACS:
O175.4
DOI:
-
Abstract:
By us ing the invar iance o f a PDE, the invarian t g roups adm itted by equation uxx + uyy + up = 0 on jet bundle a re stud ied. In finitesim a l g enerators o f the co rresponding geom e tric invariant g roups are obta ined. And the invar iant form s and a fam ily of g roup- invar iant so lutions are also g iv en.

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Last Update: 2013-04-23