Painlevé Analysis and Similarity Reductions for the Magma Equation

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2006
• Автори: Harris, S.E., Clarkson, P.A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2006
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146099
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Painlevé Analysis and Similarity Reductions for the Magma Equation / S.E. Harris, P.A. Clarkson // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 34 назв. — англ.

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...