This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and cubic nonlinear Schrödinger (fNLS) equations, with dispersions |D|??x |D|?+1, respectively. We prove global existence of small solutions for both Cauchy problems to fKdV fNLS a scattering which has logarithmic phase correction. Our results cover full range ?1<?<1, ??0 equations.

The phase diagram for a system of model anisotropic particles with six attractive patches in an octahedral arrangement has been computed. This model for a relatively narrow value of the patch width where the lowest-energy configuration of the system is a simple cubic crystal. At this value of the patch width, there is no stable vapor-liquid phase separation, and there are three other crystallin...

In this paper, the original Chua’s circuit is modified by substituting its piecewise-linear function with an attraction-repulsion function. Some new complex dynamical behaviors such as chaos are observed through computer simulations. Basic properties of the new circuit are analyzed by means of bifurcation diagrams. Lagrange stability conditions of the circuit are derived. A comparison between t...

We propose a lifetime distribution with flexible hazard rate called cubic rank transmuted modified Burr III (CRTMBIII) distribution. develop the proposed on basis of ranking transmutation map. The density function CRTMBIII is symmetrical, right-skewed, left-skewed, exponential, arc, J and bimodal shaped. model can accommodate almost all types shapes such as unimodal, bimodal, increasing, decrea...

The objective of this study was to investigate the use of four different mathematical functions (Wood, Inverse Polynomial, Quadratic and Cubic models) for describing the lactation curve of unimproved Awassi ewes. Data were collected from 136 ewes from the same flock raised on the State Farm of Gözlü in the Konya Province of Turkey. The differences in estimated total milk yields between the mode...

The quality of signal at a particular location is essential to determine the performance of mobile system. The problem of poor network in Lagos, Nigeria needs to be addressed especially now that the attention is toward online learning and meetings. Existing empirical Path Loss (PL) models designed elsewhere are not appropriate for predicting the 4G Long-Term Evolution (LTE) signal in Nigeria. T...

We prove global existence and modified scattering for the solutions of Cauchy problem to fractional Korteweg-de Vries equation with cubic nonlinearity small, smooth localized initial data.