Ratliff2020_Article_PhaseDynamicsOfTheDystheEquati.pdf (2.62 MB)

Phase dynamics of the dysthe equation and the bifurcation of plane waves

Download (2.62 MB)
journal contribution
posted on 12.02.2020, 14:23 by Daniel Ratliff
The bifurcation of plane waves to localised structures is investigated in the Dysthe equation, which incorporates the effects of mean flow and wave steepening. Through the use of phase modulation techniques, it is demonstrated that such occurrences may be described using a Korteweg–de Vries equation. The solitary wave solutions of this system form a qualitative prototype for the bifurcating dynamics, and the role of mean flow and steepening is then made clear through how they enter the amplitude and width of these solitary waves. In addition, higher order phase dynamics are investigated, leading to increased nonlinear regimes which in turn have a more profound impact on how the plane waves transform under defects in the phase.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Water Waves

Volume

2

Pages

123–144

Publisher

Springer Science and Business Media LLC

Version

VoR (Version of Record)

Rights holder

© The Author(s) 2019

Publisher statement

This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

09/09/2019

Publication date

2019-10-08

Copyright date

2020

ISSN

2523-367X

eISSN

2523-3688

Language

en

Depositor

Deposit date: 12 February 2020

Licence

Exports

Logo branding

Categories

Licence

Exports