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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Andrei D. Polyanin, D.Sc., Ph.D., Professor, is a well-known scientist of broad interests and is active in various areas of mathematics, mechanics, and chemical engineering sciences. Professor Polyanin graduated with honors from the Department of Mechanics and Mathematics of Moscow State University in 1974. He received his Ph.D. degree in 1981 and D.Sc. degree in 1986 at the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Professor Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences; he is also Professor of Mathematics at Bauman Moscow State Technical University and at National Research Nuclear University MEPhI. He is a member of the Russian National Committee on Theoretical and Applied Mechanics and of the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation.
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