Methods for Constructing Exact Solutions of Partial Differential Equations

Mathematical and Analytical Techniques with Applications to Engineering

By: Sergey V. Meleshko

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Hardcover | 16 September 2005

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372 Pages

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24.13 x 17.15 x 1.91

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Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

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"The book presents the main methods for finding solutions of partial differential equations ... . is the first systematic presentation of methods for constructing exact solutions of PDE's and includes many classical methods ... . The book is quite comprehensive ... . Some of the approaches are little known in the wider research community, so the book fills this gap in the literature. The author defines the target audience as students, engineers and scientists ... interested in solving partial differential equations." (Irina Yehorchenko, Mathematical Reviews, Issue 2006 m)

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Equations with one dependent function	p. 1
Systems of equations	p. 45
Method of the degenerate hodograph	p. 67
Method of differential constraints	p. 131
Invariant and partially invariant solutions	p. 169
Symmetries of equations with nonlocal operators	p. 249
Symbolic computer calculations	p. 287
Table of Contents provided by Blackwell. All Rights Reserved.

Methods for Constructing Exact Solutions of Partial Differential Equations

Mathematical and Analytical Techniques with Applications to Engineering

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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