We consider the question of global existence of small, smooth, and localized solutions of a certain fractional semilinear cubic NLS in one dimension, i∂tu − Λu = c0|u| 2 u + c1u 3 + c2uu 2 + c3u 3 , Λ = Λ(∂x) = |∂x| 1 2 , where c0 ∈ R and c1, c2, c3 ∈ C. This model is motivated by the two-dimensional water wave equation, which has a somewhat similar structure in the Eulerian formulation, in the...

interaction of pb(ii) ion with modified banana shell (mbs) and banana shell (bs) during adsorption fromaqueous solution were investigated. batch experiments were carried out to investigate the effect of contact time,ph, and idmid ion concentration on adsorption efficiency. the favorable pll for maxim= pb(ii) adsorptionwas at 5.0. for the investigated imoi) concentrations (10-80 mph), maximum ad...

formation of asphaltene deposition during oil production, processing and synthesis is known as a fundamental problem of petroleum reservoir worldwide. asphaltene is a petroleum fraction that can lead to increasing the operating costs in these industries. variations in operational pressure, temperature and fluid composition are generally the significant cause of asphaltene precipitation. in this...

This paper considers the non-linear Kudryashov's equation, that is an extension of well-known dual-power law refractive index and analog to generalized version anti-cubic non-linearity. The model considered in presence full main objective this extract soliton solutions proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, sine-Gordon expansion me...

We present the optical conductivity spectra for the newly discovered cubic perovskite structure BaOsO3 at various temperatures. The compound exhibits metallic behaviour above 50 K, but becomes non-metallic below 50 K. However, below 550 cm(-1), neither the typical Drude response nor an energy gap is observed in optical conductivity spectra from 300 K to 10 K. A broad peak centred at about 550 c...

We present a methodology based on the N\'eel model to build classical spin-lattice Hamiltonian for cubic crystals capable of describing magnetic properties induced by spin-orbit coupling like magnetocrystalline anisotropy and anisotropic magnetostriction, as well exchange magnetostriction. Taking advantage analytical solutions model, we derive theoretical expressions parametrization integrals d...

conclusions the use of smoothing methods helps us to eliminate non-linear effects but it is more appropriate to use cox proportional hazards model in medical data because of its’ ease of interpretation and capability of modeling both continuous and discrete covariates. also, cox proportional hazards model and smoothing methods analysis identified that age at diagnosis and tumor size were indepe...

In the polluted bootstrap percolation model, vertices of cubic lattice Z3 are independently declared initially occupied with probability p or closed q, where p+q≤1. Under standard (respectively, modified) rule, a vertex becomes at subsequent step if it is not and has least 3 neighbors an neighbor in each coordinate). We study final density as p,q→0. show that this converges to 1 q≪p3(logp−1)−3 ...