19 citations · 38 across the 4 of their papers we have counts for
4 papers
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…