A new approach related with group analysis and hodograph type transformation for constructing exact solutions

A. Hematulin and S.V. Meleshko

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 69, issue 3, 282-289

Abstract: The method suggested in the manuscript uses the idea of the hodograph transformation method, which exchanges the independent and dependent variables. Here a change of the independent variables into dependent variables is applied to first derivatives. For the derivatives one obtains a system of differential equations. Group analysis is applied to this system. New invariant solutions, which are not invariant for the original equations, are obtained. The approach is illustrated by the semi-linear wave equation. For example, for Pion Meson equation one obtains a solution, which is reduced to quadrature.

Keywords: Admitted Lie group; Invariant solution; Semi-linear wave equation; Pion Meson equation (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475405000285
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:69:y:2005:i:3:p:282-289

DOI: 10.1016/j.matcom.2005.01.014

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().