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.
| ISBN: | 9783031170683 |
| Publication date: | 29th October 2022 |
| Author: | Daniel J Arrigo |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 132 pages |
| Series: | Synthesis Lectures on Mathematics & Statistics |
| Genres: |
Differential calculus and equations Applied mathematics Calculus and mathematical analysis Mathematics |
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.
Analytical Methods for Solving Nonlinear Partial Differential Equations features in the following genres: Differential calculus and equations, Applied mathematics, Calculus and mathematical analysis, Mathematics
Analytical Methods for Solving Nonlinear Partial Differential Equations is available in Hardback
Analytical Methods for Solving Nonlinear Partial Differential Equations was written by Daniel J Arrigo and published by Springer an imprint of Springer International Publishing
Analytical Methods for Solving Nonlinear Partial Differential Equations has 132 pages
Yes it is part of Synthesis Lectures on Mathematics & Statistics series
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