Airy wave theory is a mathematical model used to describe the propagation of surface waves on deep water. Developed by the British mathematician and astronomer George Biddell Airy in the 19th century, it provides a framework for understanding wave properties such as amplitude, wavelength, phase velocity, and wave energy.
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Airy wave theory linearizes the motion of small-amplitude surface gravity waves in an inviscid, incompressible, irrotational fluid. At depth , its dispersion relation is ; deep water is the limit .