Lie Group Analysis of Differential Equations : : Invariant Solutions of Nonlinear Physical Phenomena / / Ranis Ibragimov.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1
• VerfasserIn: Ibragimov, Ranis ,
• 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
• Physical Description: 1 online resource (XIV, 284 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783111387499; 9783111332192
• ISSN: 0941-813X
• DOI: 10.1515/9783111387499
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.