19 citations · 70 across the 10 of their papers we have counts for
10 papers
Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model
Yu. V. Sedletsky, I. S. Gandzha
We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinea…
Epidemic-Driven Collapse in a System with Limited Economic Resource. II
I. S. Gandzha, O. V. Kliushnichenko, S. P. Lukyanets
We consider a possibility of socioeconomic collapse caused by the spread of epidemic. To this end, we exploit a simple SIS-like (susceptible-infected-susceptible) model with negati…
The Epidemic-Driven Collapse in a System with Limited Economic Resource
I. S. Gandzha, O. V. Kliushnichenko, S. P. Lukyanets
We consider a possibility of socioeconomic collapse caused by the spread of epidemic in a basic dynamical model with negative feedback between the infected population size and a fo…
The effect of the fifth-order nonlinearity on the existence of bright solitons below the modulation instability threshold
I. S. Gandzha, Yu. V. Sedletsky
We analyze three different high-order nonlinear Schrödinger equation (HONLSE) models that have been used in the literature to describe the evolution of slowly modulated gravity wav…
Bright and Dark Solitons on the Surface of Finite-Depth Fluid Below the Modulation Instability Threshold
I. S. Gandzha, Yu. V. Sedletsky
We use the high-order nonlinear Schrödinger equation (NLSE) derived to model the evolution of slowly modulated wave trains with narrow spectrum on the surface of ideal finite-depth…
High-order nonlinear Schrödinger equation for the envelope of slowly modulated gravity waves on the surface of finite-depth fluid and its quasi-soliton solutions
I. S. Gandzha, Yu. V. Sedletsky, D. Dutykh
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…
Two-Parameter Method for Describing the Nonlinear Evolution of Narrow-Band Wave Trains
V. P. Lukomsky, I. S. Gandzha
We consider the evolution of narrow-band wave trains of finite amplitude in a nonlinear dispersive system which is described by the Klein--Gordon equation with arbitrary polynomial…
Fractional Fourier approximations for potential gravity waves on deep water
Vasyl P. Lukomsky, Ivan S. Gandzha
In the framework of the canonical model of hydrodynamics, where fluid is assumed to be ideal and incompressible, waves are potential, two-dimensional, and symmetric, the authors ha…
Cascades of subharmonic stationary states in strongly non-linear driven planar systems
Vasyl P. Lukomsky, Ivan S. Gandzha
The dynamics of a one-degree of freedom oscillator with arbitrary polynomial non-linearity subjected to an external periodic excitation is studied. The sequences (cascades) of harm…
Steep sharp-crested gravity waves on deep water
Vasyl' Lukomsky, Ivan Gandzha, Dmytro Lukomsky
A new type of steady steep two-dimensional irrotational symmetric periodic gravity waves on inviscid incompressible fluid of infinite depth is revealed. We demonstrate that these w…