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Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields



Doak, A;

Gao, T;

Vanden-Broeck, J-M;

(2022)

Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields.

The Quarterly Journal of Mechanics and Applied Mathematics


10.1093/qjmam/hbac007.

(In press).


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    Abstract

    This article is concerned with capillary-gravity waves travelling on the interface of a dielectric gas and a conducting fluid under the effect of a vertical electric field. A boundary integral equation method is employed to compute fully nonlinear steady travelling wave solutions. The global bifurcation diagram of periodic waves, solitary waves, generalised solitary waves and dark solitary waves is presented and discussed in detail.

    Type: Article

    Title: Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields
    DOI: 10.1093/qjmam/hbac007
    Publisher version: https://doi.org/10.1093/qjmam/hbac007
    Language: English
    Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
    UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
    UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
    UCL > Provost and Vice Provost Offices > UCL BEAMS
    UCL
    URI: https://discovery.ucl.ac.uk/id/eprint/10151114

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