Topological solitons of resonant nonlinear Schödinger'sequation with dual-power law nonlinearity by G′/G-expansion technique

This paper considers the resonant nonlinear Schrödinger's equation with dual-power law nonlinearity. The G′/G-expansion method is applied to integrate this equation. The soliton solutions are thus obtained. Both constant coefficients as well as time-dependent coefficients are considered. The results for parabolic law nonlinearity fall out as a special case.     

Dispersive dark optical soliton with Schödinger-Hirota equation by G′/G-expansion approach in power law medium

This paper studies dispersive optical solitons that are governed by the Schrödinger-Hirota equation with power law nonlinearity. The G′/G-expansion method is applied to extract soliton solution to this equation. This approach reveals dark 1-soliton solution to the equation.     

Dark optical solitons in power law media with time-dependent coefficients

This Letter talks about the dynamics of dark optical solitons that are governed by the nonlinear Schrödinger's equation with power law nonlinearity. The solitons are considered in presence of linear attenuation, third order dispersion and self-steepening terms, all with time-dependent coefficients. The solitary wave ansatz is used to carry out the integration and an exact soliton solution is obtained. It is only necessary that these time-dependent coefficients are Riemann integrable.     

Thirring optical solitons with Kerr law nonlinearity

The dynamics of Thirring solitons in birefringent fibers with Kerr law nonlinearity is addressed in this paper. An exact 1-soliton solution is obtained. Bright, dark and singular soliton solutions are described.     

Collision of optical solitons with Kerr law nonlinearity

The intra-channel collision of optical solitons, with Kerr law nonlinearity, is studied by the aid of quasi-particle theory. The perturbation terms considered in this paper are all of Hamiltonian type. It is shown that the soliton–soliton interaction can be suppressed in the presence of these perturbations, namely, the self-steepening, the third-order dispersion, the fourth-order dispersion and the frequency separation between the soliton carrier and the gain-center frequency. The prediction of quasi-particle theory are fully confirmed by direct numerical simulations.     

Unidirectional flow of discrete solitons in optical waveguide arrays with nonlinearity management

We propose a mechanism for realising a unidirectional flow of discrete solitons in optical waveguide arrays. Modulating the nonlinear interaction strength in each waveguide according to a double reflectionless potential well with slight difference in the depths of its two wells, we achieve a unidirectional flow of the soliton propagation. We verify clearly, through the transport coefficients as in terms of the speed of the incident soliton, that an incident soliton velocity window of finite width exists where unidirectional flow can be realised. We discuss the physics underlying this behaviour on the basis of energy exchange between the soliton's kinetic and interaction energies.     

Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity

This paper obtains solitons and singular periodic solutions to the generalized resonant dispersive nonlinear Schrödinger’ equation with power law nonlinearity. There are several integration tools that are adopted to extract these solutions. They are simplest equation method, functional variable method, sine–cosine function method, tanh function method and the G′/G-expansion method. These integration techniques reveal bright and singular solitons as well as the corresponding singular periodic solutions to the nonlinear evolution equation. These solitons solutions are important in the nonlinear fiber optics community as well as in the study of rogue waves.     

Bright and dark solitons of the Rosenau-Kawahara equation with power law nonlinearity

In this paper, the topological (dark) as well as non-topological (bright) soliton solutions to the Rosenau-Kawahara equation with power law nonlinearity are obtained by the solitary wave ansatz method. A couple of conserved quantities are also calculated for the case of bright soliton solution.     

Ultra-short pulse compression at 1065 nm in nonlinear photonic crystal fiber

A pulse compressor has been designed using a 13 mm highly nonlinear photonic crystal fiber to compress pulses centered at 1065 nm from 28 fs to 1.8 fs with a compression factor of 16.2. This compression is achieved by using a high level of energy and generating different orders of solitons without resorting to large values of fiber's dispersion.     

Exact optical solitons in metamaterials with anti-cubic law of nonlinearity by Lie group method

Optical and Quantum Electronics - The graphene oxide (GO) sheets were prepared from Hummer’s method. The reduced process is important to graphene related materials for widely functional use...     

Dark solitons in optical fiber with inhomogeneous effects

We study the nonlinear wave propagation in an inhomogeneous optical fiber core in the normal dispersive regime. In order to include the inhomogeneous physical effects, the nonlinear Schrödinger equation (NLSE), which governs the solitary pulse propagation in optical fiber, is modified by adding terms for phase modulation and power gain or loss. The modified NLSEs are bilinearized and exact dark soliton solutions are obtained. The results are discussed.     

三体相互作用下Bessel型光晶格中物质波孤立子的稳定性研究

研究了两体和三体相互作用空间调制情形下Bessel型光晶格中准二维玻色-爱因斯坦凝聚体系中物质波孤立子的稳定性.利用标准的变分法程序,得出体系有效势能的表达式,进而根据有效势能结构给出了体系的稳定性条件.结果表明,在有Bessel型光晶格和没有Bessel型光晶格的情况下,体系均能形成稳定的孤立子解,但是有晶格参与时,体系有很大范围的稳定区间.另外,稳定性受两体相互作用和三体相互作用共同支配,其中两体相互作用对体系的稳定性起主导作用,三体相互作用和相互作用的空间调制只对稳定性起调节作用,但是在特定情况下,必须要有三体相互作用或者相互作用空间调制的参与才能形成稳定的孤立子解.     

三体相互作用下Bessel型光晶格中物质波孤立子的稳定性研究

研究了两体和三体相互作用空间调制情形下Bessel型光晶格中准二维玻色-爱因斯坦凝聚体系中物质波孤立子的稳定性. 利用标准的变分法程序, 得出体系有效势能的表达式, 进而根据有效势能结构给出了体系的稳定性条件. 结果表明, 在有Bessel型光晶格和没有Bessel型光晶格的情况下, 体系均能形成稳定的孤立子解, 但是有晶格参与时, 体系有很大范围的稳定区间. 另外, 稳定性受两体相互作用和三体相互作用共同支配, 其中两体相互作用对体系的稳定性起主导作用, 三体相互作用和相互作用的空间调制只对稳定性起调节作用, 但是在特定情况下, 必须要有三体相互作用或者相互作用空间调制的参与才能形成稳定的孤立子解.     

Generation of high order multi-bound solitons and propagation in optical fibers

We demonstrate experimental generation of multi-bound solitons of up to sextuple in an active FM mode-locked fiber ring laser operating under power saturation in the locking state. The ring laser consists of two booster optical amplifiers operating in saturation regime, an electro-optic phase modulator driven by a sinusoidal electrical wave and a length of dispersive fiber. The periodic phase modulation generates phase chirp of the generated lightwaves in the ring laser. The chirped phase state plays an important role in the phase matching condition for mode-locking as well as the stabilization and the determination of the bound states of multi-solitons. The formation of such high order multi-bound solitons is explained based on the chirping of the phase and the behavior of the optical pulse sequence in the near field region of the dispersive fiber. The propagation of these multi-bound solitons through single mode optical fibers is observed. Experimental and simulation results of bound solitons have been shown to follow similar trends.The propagation of these multi-bound solitons through single mode optical fibers is described. Their mutual interaction through such quadratic phase media shows the influence of the quadratic phase property on the differential phase of individual solitons of the bound group. Simulated results confirm the evolution of the bound solitons over dispersive single mode optical fibers.     

Dark-bright optical solitons conversion via an optical add/drop filter for signals and networks security applications

We propose a new system of the dark-bright solitons conversion using a micro- and nano-ring resonators incorporating an optical add/drop filter, where the add/drop filter can be used to convert the dark soliton to bright soliton. The key advantage of the system is that the detection of the dark soliton pulse is normally difficult due to low level of input power. Firstly, a dark soliton pulse is input into a micro-ring resonator, then propagating into smaller micro- and nano-ring resonators. Secondly, the add/drop filter is applied (connected) into the ring system, where the bright and the dark solitons are obtained via the drop and through (or throughput) the ports of the add/drop filter, respectively. The results obtained have shown that the detected soliton power can be controlled by the input soliton power and the ring resonator coupling coefficient, which is enough to use in the transmission link. The optical and the quantum networks using dark soliton are also discussed.     

Bright,dark and singular optical solitons in a power law media with fourth order dispersion

This study focuses on exact solutions of nonlinear Schrödinger equation in a power law media with fourth order dispersion. Jacobi elliptic functions will be used to carry out the integration of this equation. Bright, dark and singular optical soliton solutions are obtained as well as Jacobi elliptic function solutions.     

Optical soliton perturbation with quadratic-cubic nonlinearity using a couple of strategic algorithms

In this work, we derive bright, dark and singular soliton solutions to quadratic-cubic nonlinear media with perturbation terms being present. We perform the modified simple and the trial equation algorithms to the considered model. In addition, periodic singular wave solutions will be constructed by the integration schemes.     

One-dimensional optical bright screening photovoltaic photorefractive solitons, soliton pairs and incoherent interaction between them in BaTiO3 crystal

By the use of theory of optical solitons, nonlinear equations governed by screening photorefractive photovoltaic solitons are introduced. By means of numerical methods, intensity profile, refractive index change of the media and also stability under propagation are investigated. Self-bending of solitons under first-order diffusion is also studied. Besides, incoherent coupled bright-bright soliton pairs and incoherent interaction are studied.     

A new conserved quantity for non-Kerr law optical solitons

This paper talks about a new conservation law in non-Kerr law media. This new integral of motion is used to provide an equation for the phase of the soliton. This law is also used to obtain the adiabatic variation of the soliton phase due to perturbation terms in a non-Kerr law media that includes the power law, parabolic law and the dual-power law.