Ermakov Equation and Camassa-Holm Waves

Haret C. Rosu, S. C. Mancas, Stefani Mancas

Research output: Contribution to journalArticlepeer-review

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.
Original languageAmerican English
JournalThe Nepali Mathematical Sciences Report
Volume34
StatePublished - Sep 2016

Keywords

  • Ermakov equation
  • Camassa-Holm equation
  • nonlinear waves

Disciplines

  • Physical Sciences and Mathematics

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