Approximate and Renormgroup Symmetries by Nail H. Ibragimov, Vladimir F. Kovalev

By Nail H. Ibragimov, Vladimir F. Kovalev

"Approximate and Renormgroup Symmetries" offers with approximate transformation teams, symmetries of integro-differential equations and renormgroup symmetries. It incorporates a concise and self-contained creation to easy recommendations and techniques of Lie staff research, and gives an easy-to-follow creation to the speculation of approximate transformation teams and symmetries of integro-differential equations.

The booklet is designed for experts in nonlinear physics - mathematicians and non-mathematicians - drawn to tools of utilized crew research for investigating nonlinear difficulties in actual technology and engineering.

Dr. N.H. Ibragimov is a professor on the division of arithmetic and technology, examine Centre ALGA, Sweden. he's extensively considered as one of many world's best specialists within the box of symmetry research of differential equations; Dr. V. F. Kovalev is a number one scientist on the Institute for Mathematical Modeling, Russian Academy of technology, Moscow.

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T. Riggin, and S. Novick for their advice on particular points. M. Herman, J. K. G. Watson, and B. P. Winnewisser each read and corrected the proofs of the book, and my wife Éva, together with M. B. Wadworth and A. M. Lyyra, helped me to compare the proofs with the typewritten manuscript; I am very grateful for their help. I would especially like to thank Helen Letaif who typed the entire final draft of the manuscript and a special effort to ensure a well produced and consistent product. Assisting in the typing of the first draft and in typing the modifications that I made to the second draft were Denise Charette, Gloria Dumoulin, Marilyn Nadon, and Lorette Ernst; I very much appreciate all their help.

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We have used two figures from Callomon, Dunn and Mills (1966), and we thank the Royal Society of London, and the authors of the article, for permission. PRB is grateful for an Alexander von Humboldt Award that allowed him to spend time at the University of Wuppertal during which part of this book was written. PJ has worked on the book while he was a visiting scientist at the Max Planck Institute of Astrophysics, Garching near Munich, and he is grateful to the MPI, and particularly to Wolfgang Kraemer, for hospitality.

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