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nonlinear pulse propagation equation

Symmetries and conservation laws of the Yao–Zeng two-component short-pulse equation

Symmetries and conservation laws of the Yao–Zeng two-component short-pulse equation

... short-pulse equation which describes the propagation of polarized ultrashort light pulses in cubically nonlinear anisotropic optical ...addition, nonlinear self-adjointness and ...

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Numerical modeling of logic gate in optical communication

Numerical modeling of logic gate in optical communication

... the propagation of soliton pulse as a signal for ...soliton pulse is developed by numerical solution of Nonlinear Schrodinger Equation, NLSE by using Matlab ...soliton pulse can ...

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Enhanced nonlinear effects in pulse propagation through epsilon near zero media

Enhanced nonlinear effects in pulse propagation through epsilon near zero media

... the nonlinear response of both standard media [50] and metamaterials (in the homogeneous effective medium description) [51–53] is usually described by resorting to the paradigmatic Kerr model where the medium ...

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Modeling of Optical Pulse Propagation in Kerr and Raman Nonlinear Dispersive Media Using JE-TLM Method

Modeling of Optical Pulse Propagation in Kerr and Raman Nonlinear Dispersive Media Using JE-TLM Method

... Principe of Huygens, and makes the analogy between the components of the electromagnetic field and circuit parameters. One of these algorithms that have been incorporated with the TLM method is the Z-transform technique ...

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Timing Shift of Optical Pulses Due to Inter-Channel Cross-Talk

Timing Shift of Optical Pulses Due to Inter-Channel Cross-Talk

... a nonlinear partial differential ...solving pulse propagation problem in a nonlinear dispersive ...the propagation of optical field over a small distance h one can pretend that dispersive ...

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Higher-Order Nonlinear Schrödinger Equation Family in Optical Fiber and Solitary Wave Solutions

Higher-Order Nonlinear Schrödinger Equation Family in Optical Fiber and Solitary Wave Solutions

... (NLS) equation is one of the most interesting nonlinear evolution equation (NEE) used to model phenomena in many area of physics in which nonlinear optics, plasma physics, condensed matter ...

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An Efficient Method to Simulate the Pulse Propagation and Switching Effects of a Fiber Bragg Grating

An Efficient Method to Simulate the Pulse Propagation and Switching Effects of a Fiber Bragg Grating

... FBGs can be explained by a set of coupled differential equations. In some cases, the ‘gap solitons’ may be provided in these mediums which can be used in the optical fibers for information-transmission [5]; they can be ...

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ANALYSIS OF SOLITON INTERACTION WITH HIGHER ORDER EFFECTS IN ERBIUM-DOPED FIBER

ANALYSIS OF SOLITON INTERACTION WITH HIGHER ORDER EFFECTS IN ERBIUM-DOPED FIBER

... soliton propagation in an erbium-doped fiber ...Bloch equation with variable nonlinear and dispersion ...this equation is gathered through the AKNS ...cases, pulse compression is ...

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Propagation of Dark Solitary Waves in the Korteveg Devries Burgers Equation Describing the Nonlinear RLC Transmission

Propagation of Dark Solitary Waves in the Korteveg Devries Burgers Equation Describing the Nonlinear RLC Transmission

... the propagation of dark solitons in a nonlinear dissipative electrical ...KdVB equation, we obtain soliton-like pulse solu- ...discrete equation are carried out and show the possibility ...

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Analysis of Ultra-Short Pulse Propagation in Nonlinear Optical Fiber

Analysis of Ultra-Short Pulse Propagation in Nonlinear Optical Fiber

... The nonlinear behavior of electromagnetic fields in optical fiber is due to the nonlinear relation between the electric field and the induced electric ...scalar nonlinear equations with slowly varying ...

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Nonlinear Pulse Propagation in a Weakly Birefringent Optical Fiber Part 1: Derivation of Coupled Nonlinear Schrodinger Equations (Cnlse)

Nonlinear Pulse Propagation in a Weakly Birefringent Optical Fiber Part 1: Derivation of Coupled Nonlinear Schrodinger Equations (Cnlse)

... evolution equation for the complex envelopes is deduced by assuming that only one of the effects is present), and then superposing the individual equations with the aid of certain ordering parameters (the precise ...

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The Peculiarity of A Nervous Pulse Propagation

The Peculiarity of A Nervous Pulse Propagation

... The analysis of such regimes of interaction of nonlinear pulse can be useful in deciphering the mechanisms of car- diac arrhythmias. It is known that the Korteweg de Vries soliton gradually slows down under ...

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Propagation of Long-Wavelength Nonlinear Slow Sausage Waves in Stratified Magnetic Flux Tubes

Propagation of Long-Wavelength Nonlinear Slow Sausage Waves in Stratified Magnetic Flux Tubes

... single nonlinear integro-differential equation. The equation obtained by Molotovshchikov and Ruderman (1987) is then shown to be a simplified case of that obtained ...governing equation to a ...

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Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water

Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water

... a nonlinear evolution equation is derived on the basis of the method of multiple-scale ...NLS equation adequately describing various examples of vortex waves are considered in ...NLS equation ...

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Vol 4, No 3 (2012)

Vol 4, No 3 (2012)

... This nonlinear effect occurs only in WDM systems, so we occurred that our system is using a WDM system with three optical signals transmitted in the ...chosen nonlinear effects with different modulation ...

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DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-[beta] Hall plasma

DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-[beta] Hall plasma

... oblique propagation of magnetohydrodynamic waves with arbitrary amplitudes in a Hall plasma with isotropic pressure is studied under assumption that the plasma β is ...derivative nonlinear Schr¨odinger ...

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Derivation of the Effective Nonlinear SchrÖDinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing

Derivation of the Effective Nonlinear SchrÖDinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing

... the nonlinear dielectric on the bottom (see Figure 1 ...(Effective Nonlinear Schr¨odinger Equation) we start Maxwell’s equations for planar waveguide interface with a dielectric and a metal (see ...

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Travelling Waves: Interplay of Low to High Reynolds Number and Tan Cot Function Method to Solve Burger’s Equations

Travelling Waves: Interplay of Low to High Reynolds Number and Tan Cot Function Method to Solve Burger’s Equations

... In this study, the Burger’s equation is solved by using tan-cot function method. Numerically we present the effect of viscosity on amplitude that corresponds to the Reynolds number. The Burger’s equation ...

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Propagation Characteristics of Partial Discharge Pulses in the Cable

Propagation Characteristics of Partial Discharge Pulses in the Cable

... From the above figures, it shows that transfer function is linked to the propagation distance. When the propa- gation distance is within a few meters, there are different changes in signal magnitude. In general, ...

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Slow solitary waves in multi-layered magnetic structures

Slow solitary waves in multi-layered magnetic structures

... wave propagation in a planar symmetric magnetic configuration consisting of a cen- tral magnetic slab and two side magnetic slabs embedded in two semi-infinite ...

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