| Institution: | a E.T.S. Ingenier?´a Informática, Dept. Lenguajes y Ciencias de la Computación, Universidad de Málaga, Campus de Teatinos, 29071 Málaga, Spain
b E.T.S. Ingenieros Industriales, Dept. Lenguajes y Ciencias de la Computación, Universidad de Málaga, Campus de El Ejido, 29013 Málaga, Spain |
| Abstract: | 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. |
