Localized structures in surface waves

Christian Elphick, Ehud Meron

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

Abstract

An amplitude equation in the form of a perturbed nonlinear Schrödinger equation is derived for parametric excitation of surface waves in an extended system. Continuous symmetries of the unperturbed system are used to identify critical modes. Dynamical equations for the latter are derived using singular perturbation theory. The existence of a stable nonpropagating kink solution is predicted. The solution connects two uniform states whose phases of oscillations differ by, and should be observable in wide enough cells. A stable nonpropagating soliton solution is found for subcritical excitation.

Original languageEnglish
Pages (from-to)3226-3229
Number of pages4
JournalPhysical Review A
Volume40
Issue number6
DOIs
StatePublished - 1 Jan 1989
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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