Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 24, issue 2
Articles | Volume 24, issue 2
https://doi.org/10.5194/npg-24-255-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-24-255-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 24, issue 2
Research article
 | 
06 Jun 2017
Research article |  | 06 Jun 2017

Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water

Anatoly Abrashkin and Efim Pelinovsky

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Latest update: 17 May 2025
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Short summary
The nonlinear Schrödinger equation describing weakly rotational wave packets in a fluid in the Lagrangian coordinates is derived. Rogue effects are possible in low-vorticity waves, and the effect of vorticity is manifested in a shift of the wave number in the carrier wave. Special attention is paid to Gouyon and Gerstner waves. It is shown that this equation in the Eulerian variables can be obtained from the Lagrangian solution with an ordinary change in the horizontal coordinates.
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