4 papers
Solitons and periodic wave solutions for complex Ginzburg-Landau equation modelling fiber lasers and nonequilibrium phenomena
Vladimir I. Kruglov, Houria Triki
New types of soliton and periodic waves are identified for a nonlinear dissipative medium where the pulse propagation is governed by the cubic complex Ginzburg-Landau equation. We…
Pulse-train propagation in nonlinear Kerr media governed by higher-order dispersion
Houria Triki, Vladimir I. Kruglov
We discover three novel classes of pulse-train waveforms in an optical Kerr nonlinear medium possessing all orders of dispersion up to the fourth order. We show that both single- a…
Quantum Dynamics and Elementary Excitations in Superfluid He4 Films at Low Temperatures
Vladimir I. Kruglov, Houria Triki
We have formulated a novel quantum nonlinear Schrodinger equation describing of superfluid He4 in films at low temperatures. It is shown that in classical limit the found nonlinear…
Stopping of generalized solitary and periodic waves in optical waveguide with varying and constant parameters
Vladimir I. Kruglov, Houria Triki
We demonstrate the possibility of stopping the soliton pulses in optical waveguide with varying and constant parameters exhibiting a Kerr nonlinear response. By using the similarit…