Symmetries of Integro-Differential Equations
|Author(s):||Sergey Meleshko, Nail H. Ibragimov, Vladimir Kovalev|
|Title:||Symmetries of Integro-Differential Equations|
|Series:||Lecture Notes in Physics, Vol. 806|
|Organization:||Blekinge Institute of Technology|
|Department:||School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap)
School of Engineering S-371 79 Karlskrona
+46 455 38 50 00
|Abstract:||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.
|Keywords:||Integro-differential equations, Lie group, Lie group analysis, applied group analysis, delay differential equations, exact solutions, group analysis method, invariant solutions, mathematical tools scientists, plasma kinetic equations, solving differential equations|