Shallow water hydrodynamics is an academic field dedicated to the study of fluid flow phenomena in aquatic environments where the horizontal length scales of motion significantly exceed the characteristic water depth. This domain investigates the dynamics of waves, currents, and transport processes in shallow water bodies under conditions often permitting simplifications like the hydrostatic pressure assumption and depth-averaged equations. It is crucial for modeling and predicting behaviors in coastal regions, rivers, estuaries, and continental shelves, providing essential frameworks for environmental management, engineering design, and natural hazard assessment.