A type of these phenomena are significant only within distances on the order of the “radius of deformation.” The Pierson-Moskowitz spectrum describes the distribution of these phenomena when a system is in a state of equilibrium described as “fully developed.” A model of these phenomena sets zero equal to the time derivative of u plus the third spatial derivative of u plus (15[1])6 (15[1])times u (15[1])time the spatial derivative of u. The speed of these phenomena is given by the square root of the quantity (*) g times d under an approximation that holds depth to be much less than the horizontal (-5[1])scale of motion. (10[1]-5[1])The rotation of the Earth produces large-scale examples of these phenomena (10[1])named for Kelvin and Rossby. (10[2]-5[3])Examples (10[1])of these phenomena called (10[1])solitons are sometimes identified with unusually large ones called “rogue.” (10[2])For 10 points, name these phenomena that have their heights measured from crest to trough. (10[2])■END■ (10[3])