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008 100623s2010 ne | s |||| 0|eng d
020 _a9789048137978
_9978-90-481-3797-8
024 7 _a10.1007/978-90-481-3797-8
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.1
_223
100 1 _aGrigoriev, Yurii N.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSymmetries of Integro-Differential Equations
_h[electronic resource] :
_bWith Applications in Mechanics and Plasma Physics /
_cby Yurii N. Grigoriev, Nail H. Ibragimov, Vladimir F. Kovalev, Sergey V. Meleshko.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2010.
300 _aXIII, 305 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v806
505 0 _ato 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.
520 _aThis 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.
650 0 _aMechanics.
650 0 _aMathematical physics.
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aAtoms and Molecules in Strong Fields, Laser Matter Interaction.
_0http://scigraph.springernature.com/things/product-market-codes/P24025
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aPlasma Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P24040
650 2 4 _aClassical and Continuum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P2100X
700 1 _aIbragimov, Nail H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aKovalev, Vladimir F.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aMeleshko, Sergey V.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789048138227
776 0 8 _iPrinted edition:
_z9789048137961
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v806
856 4 0 _uhttps://doi.org/10.1007/978-90-481-3797-8
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c9397
_d9397