| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632859 | Applied Mathematics and Computation | 2009 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Francisco Rus, Francisco R. Villatoro,