Handbook of Nonlinear Partial Differential Equations

Andrei D. Polyanin, Valentin F. Zaitsev

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Features

  • More specific science and engineering equations and exact solutions than any other book available
  • Many new exact solutions of various nonlinear equations
  • Second-, third-, fourth-, and higher-order equations
  • Special attention to equations of general form that involve arbitrary functions
  • 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, and other fields
  • Outlines of basic exact methods for solving nonlinear mathematical physics equations -group analysis methods, direct method for symmetry reductions, differential constraints method, method of generalized separation of variables, and others
  • Many examples illustrating the applications of the methods to specific nonlinear equations and systems of equations
  • An extensive table of contents that provides fast access to the equations of interest
  • Summary

    The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions.

    A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. 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 equations in increasing order of complexity.

    Highlights of the Handbook:

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