A repository of equations with cosine/sine compactons

  • Rus F
  • Villatoro F
  • 3


    Mendeley users who have this article in their library.
  • 13


    Citations of this article.


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

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free