Kapitel
Öffentlich zugänglich
Preface
-
Ranis Ibragimov
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Acknowledgments IX
- Contents XI
- 1 Lie group analysis of differential equations 1
- 2 Integration of ordinary differential equations 64
- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations 90
- 4 Modeling scenario 1: blood flow of variable density 104
- 5 Modeling scenario 2: invariant solutions as dispersion relation 121
- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere 130
- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet 180
- 8 Modeling scenario 5: invariant solutions as ocean whirlpools 201
- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean 247
- Bibliography 277
- Index 281
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Acknowledgments IX
- Contents XI
- 1 Lie group analysis of differential equations 1
- 2 Integration of ordinary differential equations 64
- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations 90
- 4 Modeling scenario 1: blood flow of variable density 104
- 5 Modeling scenario 2: invariant solutions as dispersion relation 121
- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere 130
- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet 180
- 8 Modeling scenario 5: invariant solutions as ocean whirlpools 201
- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean 247
- Bibliography 277
- Index 281