Shallow Water Waves and Solitary Waves
Willy Hereman
TL;DR
This paper provides a comprehensive overview of shallow water wave models, including their mathematical formulations, numerical methods, experimental observations, and future research directions in oceanography and atmospheric science.
Contribution
It offers an encyclopedic synthesis of shallow water wave theories, equations, solutions, and experimental data, highlighting recent advances and open questions.
Findings
Complete integrable shallow water wave equations discussed
Numerical methods for solitary wave solutions reviewed
Experimental observations of water waves summarized
Abstract
Encyclopedic article covering shallow water wave models used in oceanography and atmospheric science. Sections: Definition of the Subject; Introduction and Historical Perspective; Completely Integrable Shallow Water Wave Equations; Shallow Water Wave Equations of Geophysical Fluid Dynamics; Computation of Solitary Wave Solutions; Numerical Methods; Water Wave Experiments and Observations; Future Directions, and Bibliography.
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Taxonomy
TopicsOcean Waves and Remote Sensing · Oceanographic and Atmospheric Processes