A repository of equations with cosine/sine compactons

摘要

Nonlinear evolution equations with cosine/sine compacton solutions are reviewed, including the Rosenau–Hyman equation and generalizations of Korteweg–de Vries, Camassa–Holm, Boussinesq, Benjamin–Bona–Mahony, Klein–Gordon and other equations. Each equation is generalized to three dimensions and the conditions for its cosine solitary waves to be either a compacton or a soliton are determined. Several equations claimed in the literature to be different among them are found to be equivalent.