Издание на английском языке
The book is devoted to the mathematical description of internal soliton waves in the ocean and explores their physical significance, as well as the relationship between mathematics and real observations. The author discusses the historical development of the theory of solitons, starting with the work of John Scott Russell, and describes how modern computational methods and observations have changed our understanding of these waves. The book emphasizes the importance of testing theoretical models on data and offers readers the opportunity to interact with the codes to better understand the topic. In general, this is an attempt to make complex mathematical concepts more accessible and related to real oceanographic processes.
Contents
1 Background and Equation Summaries
References
2 Derivations: Linear, Weakly Nonlinear, and Conjugate Flow Theory
References
3 Using Linear and Weakly Nonlinear Theory
References
4 Exact Internal Solitary Waves
References
5 Exact Internal Hydraulics
References
6 Mode-2 Waves
References
7 Concluding Thoughts
References
Index