output
19972025
most citedRogue periodic waves of the mKdV equation

138 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2018 · physics.flu-dynShow all

7 papers · 2 filters

physics.flu-dyn2018★ 10 cited

Helical solitons in vector modified Korteweg-de Vries equations

Dmitry E. Pelinovsky, Yury A. Stepanyants

We study existence of helical solitons in the vector modified Korteweg-de Vries (mKdV) equations, one of which is integrable, whereas another one is non-integrable. The latter one…

physics.flu-dyn2018★ 22 cited

A Riccati-type solution of 3D Euler equations for incompressible flow

Sergey V. Ershkov, Roman V. Shamin

In fluid mechanics, a lot of authors have been reporting analytical solutions of Euler and Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions…

physics.flu-dyn2018★ 20 cited

Adiabatic decay of internal solitons due to the Earth rotation within the framework of the Gardner-Ostrovsky equation

Maria Obregon, Nawin Raj, Yury Stepanyants

The adiabatic decay of different types of internal wave solitons caused by the Earth rotation is studied within the framework of the Gardner-Ostrovsky equation. The governing equat…

physics.flu-dyn2018★ 69 cited

Soliton solutions to the fifth-order Korteweg - de Vries equation and their applications to surface and internal water waves

K. R. Khusnutdinova, Y. A. Stepanyants, M. R. Tranter

We study solitary wave solutions of the fifth-order Korteweg - de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, addition…

physics.flu-dyn2018★ 16 cited

Decay of Kadomtsev - Petviashvili lumps in dissipative media

S. Clarke, K. Gorshkov, R. Grimshaw +1

The decay of Kadomtsev - Petviashvili lumps is considered for a few typical dissipations - Rayleigh dissipation, Reynolds dissipation, Landau damping, Chezy bottom friction, viscou…

physics.flu-dyn2018★ 24 cited

Decay of Benjamin - Ono solitons under the influence of dissipation

Roger H. Grimshaw, Noel F. Smyth, Yury A. Stepanyants

The adiabatic decay of Benjamin - Ono algebraic solitons is studied when the influence of various types of small dissipation and radiative losses due to large scale Coriolis disper…

physics.flu-dyn2018★ 15 cited

Soliton spectra of random water waves in shallow basins

J. -P. Giovanangeli, C. Kharif, Y. A. Stepanyants

Interpretation of random wave field on a shallow water in terms of Fourier spectra is not adequate, when wave amplitudes are not infinitesimally small. A nonlinearity of wave field…