5 Modeling scenario 2: invariant solutions as dispersion relation

Chapters in this book

1. Frontmatter I
2. Preface V
3. Acknowledgments IX
4. Contents XI
5. 1 Lie group analysis of differential equations 1
6. 2 Integration of ordinary differential equations 64
7. 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations 90
8. 4 Modeling scenario 1: blood flow of variable density 104
9. 5 Modeling scenario 2: invariant solutions as dispersion relation 121
10. 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere 130
11. 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet 180
12. 8 Modeling scenario 5: invariant solutions as ocean whirlpools 201
13. 9 Modeling scenario 6: invariant solutions of internal waves in the ocean 247
14. Bibliography 277
15. Index 281