Painlevé Analysis and Similarity Reductions for the Magma Equation

In this paper, we examine a generalized magma equation for rational values of two parameters, m and n. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations. The Painlevé ODE test is then applied to the travelling wave reduction, and the pairs of m...

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Bibliographic Details
Main Authors: Shirley E. Harris, Peter A. Clarkson
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper068/