000			04153cam a22003974a 4500
999			_c8251 _d8251
001			17029890
005			20230319005622.0
008			111101s2012 flua b 001 0 eng
010			_a 2011043672
015			_aGBB137344 _2bnb
016	7		_a015776552 _2Uk
020			_a9781420087239 (hardback)
020			_a1420087231 (hardback)
035			_a(OCoLC)ocn751520047
040			_aDLC _cDLC _dYDX _dBTCTA _dYDXCP _dUKMGB _dDLC
042			_apcc
050	0	0	_aQA372 _b.P726 2012
082	0	0	_a515/.355 _223
084			_aMAT003000 _2bisacsh
100	1		_aPoli︠a︡nin, A. D. _q(Andreĭ Dmitrievich) _9598
245	1	0	_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
504			_aIncludes bibliographical references and index.
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.
650		0	_aDifferential equations, Nonlinear _xNumerical solutions. _9637
650		0	_aNonlinear mechanics _xMathematics. _9638
700	1		_aZaĭt︠s︡ev, V. F. _9601
830		0	_aHandbooks of mathematical equations. _9602
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2lcc _cBK _e2nd ed.
955			_bxh57 2011-11-01 _ixh57 2011-11-01 ONIX to Dewey _axn05 2012-01-27 1 copy rec'd., to CIP ver.