A. D. Polyanin and V. F. Zaitsev Handbook of Nonlinear Partial Differential Equations Second 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)

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 higher-order 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.