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LEADER: 04199cam a22003854a 4500
001 013186002-X
005 20120524074418.0
008 111101s2012 flua b 001 0 eng
010 $a 2011043672
015 $aGBB137344$2bnb
016 7 $a015776552$2Uk
020 $a9781420087239 (hardback)
020 $a1420087231 (hardback)
035 0 $aocn751520047
040 $aDLC$cDLC$dYDX$dBTCTA$dYDXCP$dUKMGB$dDLC
042 $apcc
050 00 $aQA372$b.P726 2012
082 00 $a515/.355$223
084 $aMAT003000$2bisacsh
100 1 $aPoli͡anin, A. D.$q(Andreĭ Dmitrievich)
245 10 $aHandbook of nonlinear partial differential equations /$cAndrei D. Polyanin, Valentin F. Zaitsev.
250 $a2nd ed.
260 $aBoca Raton, FL :$bCRC Press,$cc2012.
300 $axxxv, 1876 p. :$bill. ;$c27 cm.
490 1 $aHandbooks of mathematical equations
520 $a"Updated and expanded, this popular handbook provides a catalog of 2,100 nonlinear PDEs and their solutions. With nearly 400 pages of new and updated material, this edition contains over 500 nonlinear PDEs with solutions and many new nonlinear systems of PDEs with solutions.In the first half of the book, numerous new and nonlinear systems of PDEs are described with a focus on equations containing one or more arbitrary parameters. The authors cover equations that arise in heat transfer, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear optics, theoretical physics, differential geometry, control theory, biology, and other fields. The second half of the book presents the exact methods used for solving these types of equations. The authors explore classical methods and some recent developments, along with examples that illustrate applications of the methods. "--$cProvided by publisher.
520 $a"PREFACE TO THE NEW EDITION The Handbook of Nonlinear Partial Differential Equations, a unique reference for scientists and engineers, contains over 3,000 nonlinear partial differential equations with solutions, as well as exact, symbolic, and numerical methods for solving nonlinear equations. First, second, third, fourthand higherorder nonlinear equations and systems of equations are considered. Equations of parabolic, hyperbolic, elliptic, mixed, and general types are discussed. A large number of new exact solutions to nonlinear equations are described. In total, the handbook contains several times more nonlinear PDEs and exact solutions than any other book currently available. In selecting the material, the authors gave the highest priority to the following fivemajor types of equations: - Equations that arise in various applications (heat and mass transfer theory, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear acoustics, combustion theory, nonlinear optics, theoretical physics, differential geometry, control theory, chemical engineering sciences, biology, and others). - Equations of general form that depend on arbitrary functions; exact solutions of such equations are of principal value for testing numerical and approximate methods. - Equations forwhich the general solution or solutions of quite general form, with arbitrary functions, could be obtained. - Equations that involve many free parameters. - Equations whose solution is reduced to solving linear partial differential equations or linear integral equations. The second edition has been substantially updated, revised, and expanded. More than 1,500 new equations with exact solutions, as well some methods and many examples, have been added"--$cProvided by publisher.
504 $aIncludes bibliographical references (p. 1795-1840) and index.
505 0 $aPt. 1. Exact solutions of nonlinear partial differential equations -- pt. 2. Exact methods for nonlinear partial differential equations -- pt. 3. Symbolic and numerical solutions of nonlinear PDEs with Maple, Mathematica, and MATLAB.
650 0 $aDifferential equations, Nonlinear$xNumerical solutions.
650 0 $aNonlinear mechanics$xMathematics.
700 1 $aZaĭt͡sev, V. F.
830 0 $aHandbooks of mathematical equations.
988 $a20120516
906 $0DLC