ENGLISH

Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics

By Nail H. Ibragimov , Yurii N. Grigoriev , Vladimir F. Kovalev , Sergey V. Meleshko (auth.)

Book information

Publisher
Springer Netherlands
Year
2010
ISBN
9789048137961, 9789048137978
DOI
10.1007/978-90-481-3797-8
Language
english
Format
PDF
Filesize
3 MB (3416321 bytes)
Series
Lecture Notes in Physics 806
Edition
1
Pages
305\314
Time added
2010-06-26 00:49:36
Laser Matter Interaction;Plasma Physics;ClassicalMathematical Methods in Physics;Atoms and Molecule

Description

This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries. Differential and integro-differential equations, especially nonlinear, present the most effective way for describing complex processes. Therefore, methods to obtain exact solutions of differential equations play an important role in physics, applied mathematics and mechanics. This book provides an easy to follow, but comprehensive, description of the application of group analysis to integro-differential equations. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. It introduces new applications and extensions of the group analysis method. The authors have designed a flexible text for postgraduate courses spanning a variety of topics.

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