ENGLISH

Analytical Methods for Solving Nonlinear Partial Differential Equations (Synthesis Lectures on Mathematics & Statistics)

By Daniel Arrigo

Book information

Publisher
Springer
Year
2022
ISBN
3031170687, 9783031170683
Language
english
Format
PDF
Filesize
1013 kB (1037259 bytes)
Edition
2nd ed. 2022
Pages
186\181
Time added
2023-08-01 14:41:18

Description

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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