56 citations · 101 across the 16 of their papers we have counts for
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Self-similar vector solitons for the coupled higher-order nonlinear Schrodinger equations in inhomogeneous optical fibers
Houria Triki, Vladimir I. Kruglov
We prove the existence of two kinds of self-similar vector solitons in an inhomogeneous optical fiber medium, where light propagation is governed by a pair of coupled higher-order…
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…
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…
Generation of solitons and periodic wave trains in birefringent optical fibers
Houria Triki, Vladimir I. Kruglov
We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed b…
Wave-speed management of dipole, bright and W-shaped solitons in optical metamaterials
Houria Triki, Vladimir I. Kruglov
Wave-speed management of soliton pulses in a nonlinear metamaterial exhibiting a rich variety of physical effects that are important in a wide range of practical applications, is s…
Propagation of coupled quartic and dipole multi-solitons in optical fibers medium with higher-order dispersions
Vladimir I. Kruglov, Houria Triki
We present the discovery of two types of multiple-hump soliton modes in a highly dispersive optical fiber with a Kerr nonlinearity. We show that multi-hump optical solitons of quar…
Propagation of periodic and solitary waves in a highly dispersive cubic-quintic medium with self-frequency shift and self-steepening nonlinearity
Vladimir I. Kruglov, Houria Triki
We study the dynamics of femtosecond light pulse propagation in a cubic-quintic medium exhibiting dispersive effect up to the fourth order as well as self-frequency shift and self-…
Periodic and localized waves in parabolic-law media with third- and fourth-order dispersions
Houria Triki, Vladimir I. Kruglov
We study the propagation of femtosecond light pulses inside an optical fiber medium exhibiting higher-order dispersion and cubic-quintic nonlinearities. Pulse evolution in such sys…
Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides
Houria Triki, Vladimir I. Kruglov
We present a wide class of novel solitary and periodic waves in a non-centrosymmetric waveguide exhibiting second- and third-order nonlinearities. We show the existence of bright,…
Breather and interacting soliton and periodic waves for modified KdV equation
Vladimir I. Kruglov, Houria Triki
We present the discovery of a class of exact spatially localized as well as periodic wave solutions within the framework of the modified Korteweg-de Vries equation. This class comp…
Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity
Houria Triki, Vladimir I. Kruglov
We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the bea…
Chirped periodic and solitary waves in nonlinear negative index materials
Houria Triki, Vladimir I. Kruglov
Propagation of ultrashort pulses at least a few tens of optical cycles in duration through a negative index material is investigated theoretically based on the generalized nonlinea…
Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media
Houria Triki, Vladimir I. Kruglov
We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a ge…