93 citations · 375 across the 24 of their papers we have counts for
24 papers
Hamiltonian approach to modelling interfacial internal waves over variable bottom
Rossen I. Ivanov, Calin I. Martin, Michail D. Todorov
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorpor…
On Asymptotic Dynamical Regimes of Manakov -soliton Trains in Adiabatic Approximation
Vladimir S. Gerdjikov, Michail D. Todorov
We analyze the dynamical behavior of the -soliton train in the adiabatic approximation of the Manakov model. %perturbed by gain/loss effects and also by several types of externa…
Surface waves over currents and uneven bottom
Alan C. Compelli, Rossen I. Ivanov, Calin I. Martin +1
The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in…
Manakov model with gain/loss terms and -soliton interactions: Effects of periodic potentials
V. S. Gerdjikov, M. D. Todorov
We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbatio…
Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom
Alan Compelli, Rossen I. Ivanov, Michail D. Todorov
A single incompressible, inviscid, irrotational fluid medium bounded by a free surface and varying bottom is considered. The Hamiltonian of the system is expressed in terms of the…
Adiabatic Interactions of Manakov Solitons -- Effects of Cross-modulation
V. S. Gerdjikov, M. D. Todorov, A. V. Kyuldjiev
We investigate the asymptotic behavior of the Manakov soliton trains perturbed by cross-modulation in the adiabatic approximation. The multisoliton interactions in the adiabatic ap…