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)

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
• 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