Symmetry Analysis of Differential Equations An Introduction.

Symmetry Analysis of Differential Equations An Introduction.

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Bibliographic Details
Main Author: Arrigo, Daniel J.
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2015.
Series:New York Academy of Sciences Ser.
Subjects:
Differential equations, Partial > Textbooks.
Lie groups > Textbooks.
Lie groups > Study and teaching (Graduate)
Lie groups > Study and teaching (Higher)
Electronic books.
Online Access:Click for online access
Table of Contents:
  • Cover
  • Title Page
  • Copyright
  • Dedication
  • Preface
  • References
  • Acknowledgments
  • Chapter 1: An Introduction
  • 1.1 What Is a Symmetry?
  • 1.2 Lie Groups
  • 1.3 Invariance of Differential Equations
  • 1.4 Some Ordinary Differential Equations
  • Chapter 2: Ordinary Differential Equations
  • 2.1 Infinitesimal Transformations
  • 2.2 Lie's Invariance Condition
  • 2.3 Standard Integration Techniques
  • 2.4 Infinitesimal Operator and Higher Order Equations
  • 2.5 Second-Order Equations
  • Exercises
  • 2.6 Higher Order Equations
  • 2.7 ODE Systems
  • Chapter 3: Partial Differential Equations
  • 3.1 First-Order Equations
  • 3.2 Second-Order PDEs
  • 3.3 Higher Order PDEs
  • 3.4 Systems of PDEs
  • 3.5 Higher Dimensional PDEs
  • Chapter 4: Nonclassical Symmetries and Compatibility
  • 4.1 Nonclassical Symmetries
  • 4.2 Nonclassical Symmetry Analysis and Compatibility
  • 4.3 Beyond Symmetries Analysis-General Compatibility
  • 4.4 Concluding Remarks
  • Solutions
  • Section 1.5
  • Section 2.2.1
  • Section 2.3.6
  • Section 2.5.1
  • Section 2.6.1
  • Section 2.7.3
  • Section 3.1.4
  • Section 3.2.5
  • Section 3.3.1
  • Section 3.4.3
  • Section 3.5.1
  • Section 4.4
  • References
  • Index
  • End User License Agreement

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