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Selected Works of S.C. Mancas
Article
Ermakov Equation and Camassa-Holm Waves
The Nepali Mathematical Sciences Report (2016)
  • Haret C. Rosu, Instituto Potosino de Investigacion Cientifica y Tecnologica
  • S. C. Mancas, Embry-Riddle Aeronautical University - Daytona Beach
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Abstract
Since the works of [1] and [2], it is known that the solution of the Ermakov equation is
an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review
this interesting issue and consider in addition more features of the Ermakov equation which have an
impact on the behavior of the shallow water waves as described by the Camassa-Holm equation.
Keywords
  • Ermakov equation,
  • Camassa-Holm equation,
  • nonlinear waves
Disciplines
Publication Date
September, 2016
Citation Information
Haret C. Rosu and S. C. Mancas. "Ermakov Equation and Camassa-Holm Waves" The Nepali Mathematical Sciences Report Vol. 34 Iss. 1/2 (2016) p. 47 - 51 ISSN: 2392-411X
Available at: http://works.bepress.com/stefani_mancas/22/