A repository of equations with cosine/sine compactons

  • Rus F
  • Villatoro F
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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.

Author-supplied keywords

  • Analytical solutions
  • Compactons
  • Generalized Korteweg-de Vries equations
  • Nonlinear evolution equations
  • Rosenau-Hyman K (n, n) equation
  • Solitons

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