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Index
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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