output
19972025
most citedRogue periodic waves of the mKdV equation

138 citations

Showing 2020Show all

8 papers · 1 filter

nlin.PS2020★ 27 cited

Persistence of hydrodynamic envelope solitons: detection and rogue wave occurrence

Alexey Slunyaev

The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed…

astro-ph.HE2020★ 18 cited

High-energy neutrino astronomy and the Baikal-GVD neutrino telescope

Dmitry Zaborov

Neutrino astronomy offers a novel view of the non-thermal Universe and is complementary to other astronomical disciplines. The field has seen rapid progress in recent years, includ…

math.AP2020★ 5 cited

Asymptotic stability of viscous shocks in the modular Burgers equation

Uyen Le, Dmitry E. Pelinovsky, Pascal Poullet

Dynamics of viscous shocks is considered in the modular Burgers equation, where the time evolution becomes complicated due to singularities produced by the modular nonlinearity. We…

nlin.PS2020★ 21 cited

Stability and interaction of compactons in the sublinear KdV equation

Dmitry E. Pelinovsky, Alexey V. Slunyaev, Anna V. Kokorina +1

Compactons are studied in the framework of the Korteweg-de Vries (KdV) equation with the sublinear nonlinearity. Compactons represent localized bell-shaped waves of either polarity…

physics.flu-dyn2020★ 13 cited

The Generalized Carrier-Greenspan Transform for the shallow water system with arbitrary initial and boundary conditions

A. Rybkin, D. Nicolsky, E. Pelinovsky +1

We put forward a solution to the initial boundary value (IBV) problem for the nonlinear shallow water system in inclined channels of arbitrary cross-section by means of the general…

q-bio.PE2020★ 97 cited

Logistic equation and COVID-19

Efim Pelinovsky, Andrey Kurkin, Oxana Kurkina +2

The generalized logistic equation is used to interpret the COVID-19 epidemic data in several countries: Austria, Switzerland, the Netherlands, Italy, Turkey and South Korea. The mo…