Analytical Methods for Solving Nonlinear Partial Differential Equations, 2nd
Daniel Arrigo
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.
Categories:
Year:
2022
Edition:
2
Publisher:
Springer
Language:
english
Pages:
181
ISBN 10:
3031170687
ISBN 13:
9783031170683
Series:
Synthesis Lectures on Mathematics & Statistics
File:
PDF, 1013 KB
IPFS:
,
english, 2022
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