80 citations · 96 across the 11 of their papers we have counts for
11 papers
Reconstruction of the non-linear wave at a buoy from shoreline data and applications to the tsunami inverse problem for piece-wise sloping bathymetry
Oleksandr Bobrovnikov, Madison Jones, Shriya Prasanna +3
We discuss the following inverse problem: given the run-up data of a tsunami wave, can we recover its initial shape? We study this problem within the framework of the non-linear sh…
Spring-mass behavior of solitons under the influence of an external force field within the modified Korteweg-de Vries equation
Marcelo V. Flamarion, Efim Pelinovsky, Ioann Melnikov
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg-de Vries (mKdV) equation. In the case of small perturbation…
Separation of the initial conditions in the inverse problem for 1D non-linear tsunami wave run-up theory
Alexei Rybkin, Oleksandr Bobrovnikov, Noah Palmer +2
We investigate the inverse tsunami wave problem within the framework of the 1D nonlinear shallow water equations (SWE). Specifically, we focus on determining the initial displaceme…
On the linearity and stability of electrostatic structures based on the Schamel equation
Hans Schamel, Efim Pelinovsky, Marcelo V Flamarion
This paper contributes in the first part to the correct understanding of the linear limit in the Schamel equation (S-equation) from the perspective of structure formation in collis…
Wave evolution within the Cubic Vortical Whitham equation
Marcelo V. Flamarion, Efim Pelinovsky
In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinea…
Soliton dynamics in random fields: The Benjamin-Ono equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with…
Dynamics of irregular wave fields in the Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
The present article is devoted to the study of the dynamics of narrowband wave fields within the non-integrable Schamel equation, which plays an important role in plasma physics, w…
Bipolar solitary wave interactions within the Schamel equation
Ekaterina Didenkulova, Efim Pelinovsky, Marcelo V. Flamarion
Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the contex…
Non-integrable soliton gas: The Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually,…
Universal power law for the energy spectrum of breaking Riemann waves
Dmitry Pelinovsky, Efim Pelinovsky, Elena Kartashova +2
The universal power law for the spectrum of one-dimensional breaking Riemann waves is justified for the simple wave equation. The spectrum of spatial amplitudes at the breaking tim…
Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations
A. Slunyaev, E. Pelinovsky, A. Sergeeva +4
The rogue wave solutions (rational multi-breathers) of the nonlinear Schrodinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodyn…