A repository of equations with cosine/sine compactons

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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. © 2009 Elsevier Inc. All rights reserved.

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Rus, F., & Villatoro, F. R. (2009). A repository of equations with cosine/sine compactons. Applied Mathematics and Computation, 215(5), 1838–1851. https://doi.org/10.1016/j.amc.2009.07.035

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