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portada Analytical Methods for Solving Nonlinear Partial Differential Equations
Type
Physical Book
Publisher
Language
English
Pages
174
Format
Paperback
Dimensions
24.4 x 17.0 x 1.0 cm
Weight
0.31 kg.
ISBN13
9783031170713
Edition No.
0002

Analytical Methods for Solving Nonlinear Partial Differential Equations

Daniel Arrigo (Author) · Springer · Paperback

Analytical Methods for Solving Nonlinear Partial Differential Equations - Arrigo, Daniel

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Synopsis "Analytical Methods for Solving Nonlinear Partial Differential Equations"

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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