Symmetries of Integro-Differential Equations [electronic resource] : With Applications in Mechanics and Plasma Physics /
Meleshko, Sergey V.author.
Grigoriev, Yurii N.author.
Ibragimov, N. Kh.(Nailʹ Khaĭrullovich)author.
Kovalev, Vladimir F.author.
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.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
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.
Mathematical physics.
Mechanics.
Atoms.
Physics.
Plasma (Ionized gases).
Continuum physics.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
Atoms and Molecules in Strong Fields, Laser Matter Interaction.
Mathematical Methods in Physics.
Plasma Physics.
Classical and Continuum Physics.
Lecture notes in physicsLNP