Symmetries of integro-differential equations : with applications in mechanics and plasma physics / Y.N. Grigoriev ... [et al.].

Format:

Book

Author/Creator:

Grigoriev, Y. N. (Yurii N.)

Series:

Lecture notes in physics ; 806.

Lecture notes in physics, 0075-8450 ; 806

Language:

English

Subjects (All):

Integro-differential equations.

Physical Description:

1 online resource (XIII, 305 p.)

Edition:

1st ed.

Place of Publication:

New York : Springer, 2010.

Language Note:

English

Summary:

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.

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9786613560179

9781280382260

1280382260

9789048137978

9048137977