Z. Jovanoski - Academia.edu (original) (raw)

Papers by Z. Jovanoski

Research paper thumbnail of Two Color Bright-Bright Vector Solitons in Three Level Cascade Atomic Systems

Research paper thumbnail of Dynamics of two-layered shallow water waves with coupled KdV equations

Research paper thumbnail of Aghamkar P, see Singh M 15 (2006) 465 Ahmad H & Harun SW, Double Pass S-Band EDFA 15 (2006) 303 Ahmad H, see Harun SW 15 (2006) 309 Alatas H, Iskandar AA & Tjia MO, In-Gap Optical Bistabilities of Deep Nonlinear Bragg Grating with Symmetric Three-Layer Unit

Research paper thumbnail of Optimal path trajectories in a threat environment

Research paper thumbnail of Optical Solitons in Multi-Dimensions With Spatio-Temporal Dispersion and Non-Kerr Law Nonlinearity

Journal of Nonlinear Optical Physics & Materials, 2013

ABSTRACT This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temp... more ABSTRACT This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. The integrability aspect is the main focus of this paper. Five different forms of nonlinearity are considered — Kerr law, power law, parabolic law, dual-power law and log law nonlinearity. The traveling wave hypothesis, ansatz approach and the semi-inverse variational principle are the integration tools that are adopted to retrieve the soliton solutions to the governing equation. As a result, several constraint conditions arise out of the integration process and represent necessary conditions for the existence of solitons.

Research paper thumbnail of Interaction of spatially separated oscillating solitons in biased two-photon photorefractive materials

Journal of Modern Optics, 2014

ABSTRACT This paper presents the dynamics of two spatially separated optical solitons in two-phot... more ABSTRACT This paper presents the dynamics of two spatially separated optical solitons in two-photon photorefractive materials. The variational formalism has been employed to derive evolution equations of different parameters which characterize the dynamics of two interacting solitons. This approach yields a system of coupled ordinary differential equations for evolution of different parameters characterizing solitons such as amplitude, spatial width, chirp, center of gravity, etc., which have been subsequently solved adopting numerical method to extract information on their dynamics. Depending on their initial separation and power, solitons are shown to either disperse or compresses individually and attract each other. Dragging and trapping of a probe soliton by another pump have been discussed.

Research paper thumbnail of Fighter pilot ejection study as an educational tool

Teaching Mathematics and its Applications, 2010

Research paper thumbnail of Propagation of Gaussian beams in a nonlinear saturable medium

Physical Review E, 1994

... However, we can use the adia-batic idea to help us visualize the dynamics of the beam 'L... more ... However, we can use the adia-batic idea to help us visualize the dynamics of the beam 'Liz as it propagates. We can rewrite Eq. ... 22, 175 (1990),. [16] R. Rosman, G. Gibson, K. Boyer, H. Jara, TS Luk, IA McIntyre, A. McPherson, JC Solem, and CK Rhodes, J. Opt. Soc. Am. ...

Research paper thumbnail of Shock wave solutions to the Bogoyavlensky–Konopelchenko equation

Indian Journal of Physics, 2013

Research paper thumbnail of Exact domain-wall solitons

Physics Letters A, 2008

We provide exact periodic and soliton solutions of optical domain-wall structures that arise due ... more We provide exact periodic and soliton solutions of optical domain-wall structures that arise due to modulation instability in a nonlinear medium with normal dispersion.

Research paper thumbnail of Cylindrically Symmetric Self-trapped Beams in a Higher-order Nonlinear Medium

Physica Scripta, 1998

Using a variational approach, we examine analytically the three-dimensional self-trapping of Gaus... more Using a variational approach, we examine analytically the three-dimensional self-trapping of Gaussian beams in a medium with higher-order nonlinearity. We find exact analytic solutions for the spot width, and the conditions under which the Gaussian beam is stable to perturbation of its spot width. We also make a comparison with a Kerr-law medium.

Research paper thumbnail of Approximate analysis of circular bends in nonlinear planar waveguides

Optics Communications, 2005

Research paper thumbnail of A semi-classical approach to two-frequency solitons in a three-level cascade atomic system

Optics Communications, 2007

Research paper thumbnail of Incoherent spatial optical solitons in photorefractive crystals

Optics & Laser Technology, 2011

Research paper thumbnail of Optical soliton perturbation in non-Kerr law media: Traveling wave solution

Optics & Laser Technology, 2012

Research paper thumbnail of Non-Linear Interaction of Two Intense Fields With a Three-Level Atomic System

Journal of Nonlinear Optical Physics & Materials, 2006

ABSTRACT The interaction between two intense fields with a closed three-level atomic system in th... more ABSTRACT The interaction between two intense fields with a closed three-level atomic system in the cascade configuration is considered. We derive the steady-state expressions for the field-induced susceptibilities which are valid for all field strengths for the two fields. In particular, we show that each field influences the steady-state susceptibility and absorption experienced by the other field.

Research paper thumbnail of Two-color bright solitons in a three-level atomic system in the cascade configuration

Journal of Modern Optics, 2011

Research paper thumbnail of Modes on a bent nonlinear waveguide: solutions based upon the method of perturbations

Journal of Modern Optics, 2005

Research paper thumbnail of Isothermal circumstellar dust shell model for teaching

International Journal of Mathematical Education in Science and Technology, 2009

Research paper thumbnail of Impacts of Biotic Resource Enrichment on a Predator–Prey Population

Bulletin of Mathematical Biology, 2013

The environmental carrying capacity is usually assumed to be fixed quantity in the classical pred... more The environmental carrying capacity is usually assumed to be fixed quantity in the classical predator-prey population growth models. However, this assumption is not realistic as the environment generally varies with time. In a bid for greater realism, functional forms of carrying capacities have been widely applied to describe varying environments. Modelling carrying capacity as a state variable serves as another approach to capture the dynamical behavior between population and its environment. The proposed modified predator-prey model is based on the ratio-dependent models that have been utilized in the study of food chains. Using a simple non-linear system, the proposed model can be linked to an intra-guild predation model in which predator and prey share the same resource. Distinct from other models, we formulate the carrying capacity proportional to a biotic resource and both predator and prey species can directly alter the amount of resource available by interacting with it. Bifurcation and numerical analyses are presented to illustrate the system's dynamical behavior. Taking the enrichment parameter of the resource as the bifurcation parameter, a Hopf bifurcation is found for some parameter ranges, which generate solutions that posses limit cycle behavior.

Research paper thumbnail of Two Color Bright-Bright Vector Solitons in Three Level Cascade Atomic Systems

Research paper thumbnail of Dynamics of two-layered shallow water waves with coupled KdV equations

Research paper thumbnail of Aghamkar P, see Singh M 15 (2006) 465 Ahmad H & Harun SW, Double Pass S-Band EDFA 15 (2006) 303 Ahmad H, see Harun SW 15 (2006) 309 Alatas H, Iskandar AA & Tjia MO, In-Gap Optical Bistabilities of Deep Nonlinear Bragg Grating with Symmetric Three-Layer Unit

Research paper thumbnail of Optimal path trajectories in a threat environment

Research paper thumbnail of Optical Solitons in Multi-Dimensions With Spatio-Temporal Dispersion and Non-Kerr Law Nonlinearity

Journal of Nonlinear Optical Physics & Materials, 2013

ABSTRACT This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temp... more ABSTRACT This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. The integrability aspect is the main focus of this paper. Five different forms of nonlinearity are considered — Kerr law, power law, parabolic law, dual-power law and log law nonlinearity. The traveling wave hypothesis, ansatz approach and the semi-inverse variational principle are the integration tools that are adopted to retrieve the soliton solutions to the governing equation. As a result, several constraint conditions arise out of the integration process and represent necessary conditions for the existence of solitons.

Research paper thumbnail of Interaction of spatially separated oscillating solitons in biased two-photon photorefractive materials

Journal of Modern Optics, 2014

ABSTRACT This paper presents the dynamics of two spatially separated optical solitons in two-phot... more ABSTRACT This paper presents the dynamics of two spatially separated optical solitons in two-photon photorefractive materials. The variational formalism has been employed to derive evolution equations of different parameters which characterize the dynamics of two interacting solitons. This approach yields a system of coupled ordinary differential equations for evolution of different parameters characterizing solitons such as amplitude, spatial width, chirp, center of gravity, etc., which have been subsequently solved adopting numerical method to extract information on their dynamics. Depending on their initial separation and power, solitons are shown to either disperse or compresses individually and attract each other. Dragging and trapping of a probe soliton by another pump have been discussed.

Research paper thumbnail of Fighter pilot ejection study as an educational tool

Teaching Mathematics and its Applications, 2010

Research paper thumbnail of Propagation of Gaussian beams in a nonlinear saturable medium

Physical Review E, 1994

... However, we can use the adia-batic idea to help us visualize the dynamics of the beam 'L... more ... However, we can use the adia-batic idea to help us visualize the dynamics of the beam 'Liz as it propagates. We can rewrite Eq. ... 22, 175 (1990),. [16] R. Rosman, G. Gibson, K. Boyer, H. Jara, TS Luk, IA McIntyre, A. McPherson, JC Solem, and CK Rhodes, J. Opt. Soc. Am. ...

Research paper thumbnail of Shock wave solutions to the Bogoyavlensky–Konopelchenko equation

Indian Journal of Physics, 2013

Research paper thumbnail of Exact domain-wall solitons

Physics Letters A, 2008

We provide exact periodic and soliton solutions of optical domain-wall structures that arise due ... more We provide exact periodic and soliton solutions of optical domain-wall structures that arise due to modulation instability in a nonlinear medium with normal dispersion.

Research paper thumbnail of Cylindrically Symmetric Self-trapped Beams in a Higher-order Nonlinear Medium

Physica Scripta, 1998

Using a variational approach, we examine analytically the three-dimensional self-trapping of Gaus... more Using a variational approach, we examine analytically the three-dimensional self-trapping of Gaussian beams in a medium with higher-order nonlinearity. We find exact analytic solutions for the spot width, and the conditions under which the Gaussian beam is stable to perturbation of its spot width. We also make a comparison with a Kerr-law medium.

Research paper thumbnail of Approximate analysis of circular bends in nonlinear planar waveguides

Optics Communications, 2005

Research paper thumbnail of A semi-classical approach to two-frequency solitons in a three-level cascade atomic system

Optics Communications, 2007

Research paper thumbnail of Incoherent spatial optical solitons in photorefractive crystals

Optics & Laser Technology, 2011

Research paper thumbnail of Optical soliton perturbation in non-Kerr law media: Traveling wave solution

Optics & Laser Technology, 2012

Research paper thumbnail of Non-Linear Interaction of Two Intense Fields With a Three-Level Atomic System

Journal of Nonlinear Optical Physics & Materials, 2006

ABSTRACT The interaction between two intense fields with a closed three-level atomic system in th... more ABSTRACT The interaction between two intense fields with a closed three-level atomic system in the cascade configuration is considered. We derive the steady-state expressions for the field-induced susceptibilities which are valid for all field strengths for the two fields. In particular, we show that each field influences the steady-state susceptibility and absorption experienced by the other field.

Research paper thumbnail of Two-color bright solitons in a three-level atomic system in the cascade configuration

Journal of Modern Optics, 2011

Research paper thumbnail of Modes on a bent nonlinear waveguide: solutions based upon the method of perturbations

Journal of Modern Optics, 2005

Research paper thumbnail of Isothermal circumstellar dust shell model for teaching

International Journal of Mathematical Education in Science and Technology, 2009

Research paper thumbnail of Impacts of Biotic Resource Enrichment on a Predator–Prey Population

Bulletin of Mathematical Biology, 2013

The environmental carrying capacity is usually assumed to be fixed quantity in the classical pred... more The environmental carrying capacity is usually assumed to be fixed quantity in the classical predator-prey population growth models. However, this assumption is not realistic as the environment generally varies with time. In a bid for greater realism, functional forms of carrying capacities have been widely applied to describe varying environments. Modelling carrying capacity as a state variable serves as another approach to capture the dynamical behavior between population and its environment. The proposed modified predator-prey model is based on the ratio-dependent models that have been utilized in the study of food chains. Using a simple non-linear system, the proposed model can be linked to an intra-guild predation model in which predator and prey share the same resource. Distinct from other models, we formulate the carrying capacity proportional to a biotic resource and both predator and prey species can directly alter the amount of resource available by interacting with it. Bifurcation and numerical analyses are presented to illustrate the system's dynamical behavior. Taking the enrichment parameter of the resource as the bifurcation parameter, a Hopf bifurcation is found for some parameter ranges, which generate solutions that posses limit cycle behavior.