Landau Days 2016
Landau Days 2016
June, 20-22
Chernogolovka, Russia

Compact Equations for Water waves: temporal and spatial
Date/Time: 12:10 21-Jun-2016
We derive very simple compact equations for unidirectional gravity water waves. For such waves, as it is well-known, the coefficient of nontrivial four-wave interaction is identically zero. This fact allows essentially to simplify
the Zakharov equation applying a canonical transformation. Obviously this transformation is not unique. We suggest a specific form of such transformation that allows to derive a remarkably simple form of the Zakharov equation. One can name it as the super compact equation. This equation is very traightforward and includes nonlinear wave term (\`{a} la NLSE) and advection term (may describe pre-breaking wave). Moreover, this equation allows also to derive spatial version of water waves equation which can be used to describe experiments it the flume.

Dyachenko Alexander I. (Presenter)
(no additional information)

Zakharov Vladimir E.
(no additional information)

Kachulin Dmitry Igorevich
(no additional information)

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