Handbook of Nonlinear Partial Differential Equations, Second Edition

Andrei D. Polyanin, Valentin F. Zaitsev

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December 16, 2011 by Chapman and Hall/CRC
Handbook - 1912 Pages - 59 B/W Illustrations
ISBN 9781420087239 - CAT# C8723

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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
  • Contains several times more specific science and engineering equations and exact solutions than any other book currently available
  • Describes a large number of new exact solutions to nonlinear equations
  • Provides a database of test problems for numerical and approximate methods for solving nonlinear PDEs

Summary

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 equations with solutions
  • Some exact methods and transformations
  • Symbolic and numerical methods for solving nonlinear PDEs with Maple™, Mathematica®, and MATLAB®
  • 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. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.