The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations.
The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations.
Andrei D. Polyanin, DSc, PhD, professor, is a well-known scientist of broad interests and is active in various areas of mathematics, mechanics, and chemical engineering sciences. Prof. Polyanin graduated with honors from the Department of Mechanics and Mathematics of Moscow State University in 1974. He earned his PhD in 1981 and DSc in 1986 from the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Prof. Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences. He is a member of the Russian National Committee on Theoretical and Applied Mechanics. Prof. Polyanin is an author of more than 30 books and over 300 articles and holds three patents.
Inhaltsangabe
1.Elementary Invariant Theory: Algebraic Equations and ODEs 2.First-Order Partial Differential Equations 3.Solution Methods for Functional Equations 4.Elementary Invariant Theory: Partial Differential Equations 5.Methods of Generalized Separation of Variables 6.Methods of Functional Separation of Variables 7.DirectMethod of Symmetry Reductions. Weak Symmetries 8.Classical Method of Symmetry Reductions 9.Differential Constraints Method 10.Transformations of Equations of Mathematical Physics 11.Using Simple Solutions to Construct Complex Solutions 12.Constructing Solutions of Complex Equations
