Methods for Constructing Exact Solutions of Partial Differential Equations

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.

Emphasis is on applications with numerous worked examples to illustrate basic concepts Introduction to compatibilitiy analysis theory Many methods for constructing exact solutions are collected in one book First presentation in English of the methods of differential constraints and degenerate hodograph in closed form Extensions of group analysis for integro-differential and functional differential equations Includes supplementary material: sn.pub/extras

Inhalt
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.