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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.
List of contents
Equations with One Dependent Function.- Systems of Equations.- Method of the Degenerate Hodograph.- Method of Differential Constraints.- Invariant and Partially Invariant Solutions.- Symmetries of Equations with Nonlocal Operators.- Symbolic Computer Calculations.
Summary
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.
Additional text
From the reviews:
"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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From the reviews:
"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)
