Handbook of Nonlinear Partial Differential Equations, Second Edition (original) (raw)

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| | | | A. D. Polyanin and V. F. Zaitsev Handbook of Nonlinear Partial Differential EquationsSecond Edition, Updated, Revised and Extended Publisher: Chapman & Hall/CRC Press, Boca Raton-London-New York Year of Publication: 2012 Number of Pages: 1912 Summary Preface Features Contents References Index (pdf 117K) | | --------------------------------------------------------------------------------------------------------------------------- | | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |

Features

Includes over 3,000 nonlinear partial differential equations (PDEs) with solutions
Presents solutions to equations of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, plasticity theory, nonlinear acoustics, combustion theory, nonlinear optics, theoretical physics, differential geometry, control theory, chemical engineering, biology, and other fields
Outlines basic exact methods for solving nonlinear mathematical physics equations
Illustrates the application of the methods with numerous specific examples
Describes a large number of new exact solutions to nonlinear partial differential equations
Contains several times more specific science and engineering nonlinear equations and exact solutions than any other book currently available
Provides a database of test problems for numerical and approximate methods for solving nonlinear PDEs

New to the second edition

More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions
Parabolic, hyperbolic, elliptic, and other systems of partial differential equations with solutions
Symbolic and numerical methods for solving nonlinear PDEs with Maple, Mathematica, and MATLAB
Some exact solutions, transformations and methods
Many new illustrative examples and tables
A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.