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Information > Mathematical Books > Handbook of Nonlinear Partial Differential Equations, Second Edition > Features

     Handbook of Nonlinear Partial Differential Equations, Second Edition    

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)


  • 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.

Copyright © 2012 Andrei D. Polyanin