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Handbook of Nonlinear Partial Differential Equations, Second Edition > Summary




Handbook of Nonlinear Partial Differential Equations Second Edition, Updated, Revised and Extended
Publisher: Chapman & Hall/CRC Press, Boca RatonLondonNew York
Year of Publication: 2012
Number of Pages: 1912

Summary

Includes over 3,000 nonlinear partial differential equations (PDEs) with solutions

Explores equations that arise in 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

Describes a large number of new exact solutions to nonlinear partial differential equations

Outlines basic exact and symbolic methods for solving nonlinear mathematical physics equations

Illustrates the application of the methods with numerous examples
In total, the Handbook of Nonlinear Partial Differential Equations, Second Edition
contains several times more nonlinear PDEs and exact solutions than any other book currently available.
New to the second edition

More than 1,000 pages with over 1,500 new first, second, third, fourth, and higherorder nonlinear equations
with solutions

Parabolic, hyperbolic, elliptic, mixed, and general types systems of partial differential equations with solutions

Symbolic and numerical methods for solving nonlinear PDEs with Maple, Mathematica, and MATLAB

Some exact methods and transformations

Many new illustrative examples, solutions, problems, and tables
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 book can be used as a database of test problems for numerical and approximate methods for solving nonlinear partial differential equations.

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.
Copyright © 2012 Andrei D. Polyanin
