Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Kordyukova, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146174
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter / S. Kordyukova // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ.

We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions both integrable and nonintegrable equations.