Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics (Lecture Notes in Physics)

Sergey V. Meleshko, Yurii N. Grigoriev, N. Kh. Ibragimov, Vladimir F. Kovalev

ISBN 10: 9048137969 / ISBN 13: 9789048137961

Editore: Springer 2010-07-12, 2010

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Dati bibliografici

• Titolo: Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics (Lecture Notes in Physics)
• Editore: Springer 2010-07-12
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048137969
• ISBN 13: 9789048137961
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.

Dalla quarta di copertina

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.