Approximate and Renormgroup Symmetries

Preface

Contents

Chapter 1 Lie Group Analysis in Outline

1.1 Continuous point transformation groups

1.2 Symmetries of ordinary differential equations

1.3 Integration of first-order equations

1.4 Integration of second-order equations

1.5 Symmetries of partial differential equations

1.6 Three definitions of symmetry groups

1.7 Lie-Backlund transformation groups

Chapter 2 Approximate Transformation Groups and Symmetries

2.1 Approximate transformation groups

2.2 Approximate symmetries

References

Chapter 3 Symmetries of Integro- Differential Equations

3.1 Definition and infinitesimal

3.2 Calculation of symmetries illustrated by Vlasov-Maxwell equations

References

Chapter 4 Renormgroup Symmetries

4.1 Introduction

4.2 Renormgroup algorithm

4.3 Examples

References

Chapter 5 Applications of Renormgroup Symmetries

5.1 Nonlinear optics

5.2 Plasma physics

References

Index