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Publications Influence

The fourth-order nonlinear Schrödinger equation for the envelope of Stokes waves on the surface of a finite-depth fluid

- Y. V. Sedletsky
- Physics
- 1 July 2003

The method of multiple scales is used to derive the fourth-order nonlinear Schrödinger equation (NSEIV) that describes the amplitude modulations of the fundamental harmonic of Stokes waves on the… Expand

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A new type of modulation instability of Stokes waves in the framework of an extended NSE system with mean flow

- Y. V. Sedletsky
- Physics
- 4 August 2006

Stokes waves on the surface of a layer of an ideal fluid are studied. The nonlinear Schrodinger equation (NSE) for the envelope of the first harmonic and the equation for zero harmonic are extended… Expand

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On Modulation Instability of Stokes Waves Within the Extended Set of Nlse with the Middle Flow Equation

- Y. V. Sedletsky
- Physics
- 2006

The modulational instability of Stokes waves on the surface of finite-depth fluid

- Y. V. Sedletsky
- Physics
- 1 November 2004

Abstract We study the modulational instability of Stokes waves without the traditional assumption as to the movement of a mean flow with the group velocity of the first harmonic. We have shown that… Expand

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Zakharov equations with zeroth harmonic and a new type of modulation instability

- Y. V. Sedletsky
- Physics
- 1 December 2007

It has been shown that the system of Zakharov equations for the amplitudes of the first and zeroth harmonics of the waves on the surface of an ideal liquid describes not only the known type of the… Expand

Dispersive terms in the averaged Lagrangian method

- Y. V. Sedletsky
- Mathematics
- 1 December 2013

Abstract In this paper we develop Whitham's formalism of the averaged Lagrangian in the problem of Stokes waves on the surface of a layer of ideal fluid by taking into account dispersive terms. We… Expand

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High-Order Nonlinear Schrödinger Equation

We consider the high-order nonlinear Schrödinger equation derived earlier by Sedletsky [Ukr. J. Phys. 48(1), 82 (2003)] for the first-harmonic envelope of slowly modulated gravity waves on the… Expand

Solitary Surface Gravity Waves With Local Vortex Structure On Deep Water

- D. Lukomsky, Y. V. Sedletsky, V. P. Lukomsky, I. Gandzha
- Geology
- 2002

Inclusion of dispersive terms in the averaged Lagrangian method: turning to the complex amplitude of envelope

- Y. V. Sedletsky
- Mathematics
- 3 March 2015

Whitham’s method of averaged Lagrangian is extended to include dispersive terms on the example of Stokes waves on the surface of a layer of ideal fluid. We derive a Lagrangian with explicit… Expand

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The Hamiltonian formalism and a new type of modulation instability

- Y. V. Sedletsky
- Mathematics
- 4 January 2008

We recently reported the existence of a new type of modulation instability of the waves on the surface of ideal fluid (2006 J. Phys. A: Math. Gen. 39 L529). To this end, we considered the system of… Expand

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