Lie Group Analysis of Differential Equations : : Invariant Solutions of Nonlinear Physical Phenomena / / Ranis Ibragimov.
The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean a...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2024] ©2024 |
| Year of Publication: | 2024 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
43 |
| Online Access: | |
| Physical Description: | 1 online resource (XIV, 284 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Acknowledgments
- Contents
- 1 Lie group analysis of differential equations
- 2 Integration of ordinary differential equations
- 3 Illustration: invariant solutions as internal singularities of nonlinear differential equations
- 4 Modeling scenario 1: blood flow of variable density
- 5 Modeling scenario 2: invariant solutions as dispersion relation
- 6 Modeling scenario 3: invariant solutions of nonlinear surface waves in the ocean and atmosphere
- 7 Modeling scenario 4: Rossby nonlinear atmospheric waves along a spherical planet
- 8 Modeling scenario 5: invariant solutions as ocean whirlpools
- 9 Modeling scenario 6: invariant solutions of internal waves in the ocean
- Bibliography
- Index