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Handbook of Nonlinear Partial Differential Equations
 
 
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Handbook of Nonlinear Partial Differential Equations [Hardcover]

Andrei D. Polyanin (Author), Valentin F. Zaitsev (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Handbook of Nonlinear Partial Differential Equations, Second Edition (Handbooks of Mathematical Equations) Handbook of Nonlinear Partial Differential Equations, Second Edition (Handbooks of Mathematical Equations)
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Book Description

1584883553 978-1584883555 October 29, 2003 1
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.

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Product Details

  • Hardcover: 840 pages
  • Publisher: Chapman and Hall/CRC; 1 edition (October 29, 2003)
  • Language: English
  • ISBN-10: 1584883553
  • ISBN-13: 978-1584883555
  • Product Dimensions: 9.9 x 6.8 x 1.9 inches
  • Shipping Weight: 3.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,396,889 in Books (See Top 100 in Books)

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6 of 6 people found the following review helpful:
5.0 out of 5 stars The most reliable source of solvable nonlinear PDEs, January 16, 2007
This review is from: Handbook of Nonlinear Partial Differential Equations (Hardcover)
It is a very rare occasion when a nonlinear partial differential equation admits an exact solution. Such cases are of the utmost importance as they enable the full and most detailed analysis of the problem concerned. This reference book contains the most extended list of nonlinear PDEs known to be solvable to date and gives not only their exact solutions but also solution methods.

It is a really good book.
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Inside This Book (learn more)
First Sentence:
1 . Suppose w(x, t) is a solution of this equation. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
degenerate solution linear, separable solution linear, case ofequation, principal thermal diffusivities, equations with logarithmic nonlinearities, following cyclic permutations, autonomous ordinary differential equation, hydrodynamic boundary layer equation, involving arbitrary functions, other exact solutions, first rarefaction, mathematical physics equations, invariant surface condition, second rarefaction, separable solutions, arbitrary linear differential operator, corresponding characteristic system, following particular solutions, volume chemical reaction, ideal polytropic gas, differential substitutions, linear heat equation, exponential nonlinearities, arbitrary constants, nonclassical method
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries, Equations Involving Arbitrary Functions, The von Mises, Hyperbolic Nonlinearities, Trigonometric Nonlinearities
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