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Symmetries of Integro-Differential Equations [electronic resource] : With Applications in Mechanics and Plasma Physics / by Yurii N. Grigoriev, Nail H. Ibragimov, Vladimir F. Kovalev, Sergey V. Meleshko.

By: Grigoriev, Yurii N [author.].
Contributor(s): Ibragimov, Nail H [author.] | Kovalev, Vladimir F [author.] | Meleshko, Sergey V [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Physics: 806Publisher: Dordrecht : Springer Netherlands : Imprint: Springer, 2010Description: XIII, 305p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789048137978.Subject(s): Physics | Mathematical physics | Physics | Mathematical Methods in Physics | Atoms and Molecules in Strong Fields, Laser Matter Interaction | Plasma Physics | Classical Continuum PhysicsDDC classification: 530.15 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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