Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1137.35325
Ma, Wen-Xiu; Chen, Min
(Ma, Wenxiu)
Do symmetry constraints yield exact solutions? (English)
[J] Chaos Solitons Fractals 32, No. 4, 1513-1517 (2007). ISSN 0960-0779

In the present study the authors would like to show, through a study of symmetry constraints of the Sharma-Tassa-Olver equation, that not all symmetry constraints of differential equations yield exact solutions of the equations. They explain why such phenomenon can happen in the symmetry theory so that mistakes can be avoided in constructing exact solutions by the symmetry constrained method.
[Messoud A. Efendiev (Berlin)]

MSC 2000:: *35C05 Solutions of PDE in closed form
35A30 Geometric theory for PDE, transformations
35Q53 KdV-like equations
58J70 Invariance and symmetry properties

Keywords: symmetry constraint method; Sharma-Tassa-Olver equation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]