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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.
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)