e-book

Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics

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The present book is an introduction to a new field in applied group analysis. The
book deals with symmetries of integro-differential, stochastic and delay equations
that form the basis of a large variety of mathematical models, used to describe various
phenomena in fluid mechanics and plasma physics and other fields of nonlinear
science.

Because of its baffling complexity the mathematical study of nonlocal equations
is far from completion, although the equations have been intensively studied in numerous
applications over more than fifty last years using both numerical and analytical
methods. The principal aim of analytical approaches is to obtain exact solutions,
admitted symmetries, conservation laws and other mathematical properties, which
allow one to make sound decisions in more detailed applied investigations.
Classical Lie group theory provides a universal tool for calculating symmetry
groups for systems of differential equations. Consequently, group theoretical methods
appear efficient in analyzing different phenomena using mathematical models
that employ differential equations. However Lie’s methods cannot be directly applied
to integro-differential equations, infinite systems of differential equations, delay
equations, etc. Hence it is natural to extend the ideas of modern group analysis
to these mathematical objects that up to recently were not in mainstream of classical
group theoretical approaches.

The book is designed for specialists in nonlinear physics interested in methods of
applied group analysis for investigating nonlinear problems in physical, engineering
and natural sciences. It is based on our research results and various courses and lectures
given to undergraduate and graduate students as well as professional audiences
over the past thirty years. The book can also serve as a textbook on symmetries of
integro-differential, stochastic and delay equations for graduate students in applied
mathematics, physics and engineering.

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Informasi Detail

Judul Seri

Lect. Notes Phys. 806

No. Panggil

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Penerbit

New York : Springer Science+Business Media B.V.., 2010

Deskripsi Fisik

xiii, 305 hal.

Bahasa

English

ISBN/ISSN

9789048137978

Klasifikasi

515.35

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA FISIKA
DIFERENSIAL

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

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