EAN: 9783031170713

SYNTHESIS LECTURES ON MATHEMATICS & STATISTICS ...

This textbook provides an introduction to methods for solving nonlinear partial differential
equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering 
readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include
the following topics: Nonlinear PDEs are Everywhere  Differential Substitutions  Point and
Contact Transformations  First Integrals  and Functional Separability. Readers are guided
through these chapters and are provided with several detailed examples. Each chapter ends with
a series of exercises illustrating the material presented in each chapter. This Second Edition
includes a new method of generating contact transformations and focuses on a solution method
(parametric Legendre transformations) to solve a particular class of two nonlinear PDEs.

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