ON INTEGRALS OF MOTION OF THE 1-D ZAKHAROV EQUATION

  • A. I. Dyachenko Landau Institute for Theoretical Physics RAS
DOI 10.29006/1564-2291.JOR-2019.47(1).12
Keywords water waves, integrals of motion, 1-D Zakharov equation

Abstract

The waves on a free surface of 2D deep water can be split in two groups: the waves moving to the right, and the waves moving to the left. The fundamental consequence of this decomposition is the conservation of the ``number of waves'' in each particular group.

References


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Published
2019-05-28
Section
The XXII workshop of the Council of nonlinear dynamics of the Russian Academy of