This paper recovers a broad spectrum of optical solitons for the perturbed nonlinear Schrödinger’s equation having dual-power law nonlinearity. The perturbation terms are from inter-modal dispersion and self-frequency shift. integration scheme is improved extended tanh function approach. parameter constraints that naturally emerge also enumerated.

We recover the cases of solutions in shape bright, dark and singular optical solitons for self-phase modulation effect, which belongs to type N. A. Kudryashov's sextic power-law nonlinearity refractive index. Three different integration schemes have been implemented. These are a unified Riccati equation, our new mapping scheme addendum common method. All enlisted criterions their existence ment...

The present study attempted deriving and solving the falling- cylinder governing equations for power law model non-Newtonian fluids. Based on this theoretical study, a novel falling- cylinder rheometer (FCR) was designed and constructed to measure the Theological properties of non-Newtonian fluids. Different falling cylinders with predesigned densities were used to determine the apparent viscos...

Steady scale-invariant solutions of a kinetic equation describing the statistics of oceanic internal gravity waves based on wave turbulence theory are investigated. It is shown in the nonrotating scale-invariant limit that the collision integral in the kinetic equation diverges for almost all spectral power-law exponents. These divergences come from resonant interactions with the smallest horiz...

We briefly explain the fundamentals of detector nonlinearity applicable to both electrical and optical nonlinearity measurements. We specifically discuss the attenuation method for optical nonlinearity measurement that the NIST system is based upon, and we review the possible sources of nonlinearity inherent to thermal detectors used with high-power lasers. We also describe, in detail, the NIST...

political power is considered as one of the most fundamental public law vocabulary, as far as the separation of political power and public law seems impossible. meanwhile it seems that this concept as the fundamental concept of public law; varies in islamic and liberal thought and there is a serious conflict between them. analysis of this claim requires a proper understanding of the concept of ...

Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We confirmed that the convergence to the fixed point in both logistic and cubic maps for a region close to the fixed point goes exponentially fas...