TY - BOOK AU - Grigoriev,Yurii N. AU - Ibragimov,Nail H. AU - Kovalev,Vladimir F. AU - Meleshko,Sergey V. ED - SpringerLink (Online service) TI - Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics T2 - Lecture Notes in Physics, SN - 9789048137978 AV - QC5.53 U1 - 530.15 23 PY - 2010/// CY - Dordrecht PB - Springer Netherlands, Imprint: Springer KW - Physics KW - Mathematical physics KW - Mathematical Methods in Physics KW - Atoms and Molecules in Strong Fields, Laser Matter Interaction KW - Plasma Physics KW - Classical Continuum Physics N1 - to Group Analysis of Differential Equations -- to Group Analysis and Invariant Solutions of Integro-Differential Equations -- The Boltzmann Kinetic Equation and Various Models -- Plasma Kinetic Theory: Vlasov–Maxwell and Related Equations -- Symmetries of Stochastic Differential Equations -- Delay Differential Equations N2 - 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 UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-90-481-3797-8 ER -