Analytical Techniques for Solving Nonlinear Partial Differential Equations

Download or read book Analytical Techniques for Solving Nonlinear Partial Differential Equations written by Daniel J. Arrigo and published by Springer. This book was released on 2019-06-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.