© 2009

Approximate and Renormgroup Symmetries


  • First book to introduce to an emerging field in modern group analysis

  • Offers a unique opportunity to develop analytical skills in this field

  • Enables the reader to apply new methods in his/her own research


Part of the Nonlinear Physical Science book series (NPS)

Table of contents

About this book


"Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations.

The book is designed for specialists in nonlinear physics - mathematicians and non-mathematicians - interested in methods of applied group analysis for investigating nonlinear problems in physical science and engineering.

Dr. N.H. Ibragimov is a professor at the Department of Mathematics and Science, Research Centre ALGA, Sweden. He is widely regarded as one of the world's foremost experts in the field of symmetry analysis of differential equations; Dr. V. F. Kovalev is a leading scientist at the Institute for Mathematical Modeling, Russian Academy of Science, Moscow.


Approximate symmetries and renormgroup symmetries Approximate transformation groups HEP Lie group analysis NPS Nonlinear optics Plasma physics Symmetries of integro-differential equations mathematical modeling

Authors and affiliations

  1. 1.Department of Mathematics and ScienceBlekinge Institute of TechnologyKarlskronaSweden
  2. 2.Institute for Mathematical ModelingRussian Ac. SciMoscowRussia

Bibliographic information

  • Book Title Approximate and Renormgroup Symmetries
  • Authors N. Kh. Ibragimov
    Vladimir F. Kovalev
  • Series Title Nonlinear Physical Science
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-642-00227-4
  • Softcover ISBN 978-3-642-10128-1
  • eBook ISBN 978-3-642-00228-1
  • Series ISSN 1867-8440
  • Edition Number 1
  • Number of Pages III, 147
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Jointly published with Higher Education Press
  • Topics Applications of Mathematics
  • Buy this book on publisher's site


From the reviews: “The book is dedicated to new trends in applied group analysis focused on the computation of approximate symmetries of differential equation systems containing a small parameter. … Many worked out examples are offered illustrating the general theory. … This is a short, self contained book providing a valuable reference for the application-oriented reader.” (Fernando Haas, Mathematical Reviews, Issue 2010 f)