Generalized solitons: Resize the amplitudes of solitons

Abstract A classical soliton is a solitary wave whose amplitude, shape, and velocity remain unchanged. The letter discovers a novel property of a soliton to change its amplitude. Simulations show that: (1) The amplitude of each soliton can be changed by exerting a function on it. The classical soliton affected by the function is extended to a generalized soliton. (2) The generalized soliton retains the properties of the function. (3) Many generalized solitons can be easily constructed by using different functions.