Publication Journal
Aug, 2022
Periodic and breather solutions for miscellaneous soliton in metamaterials model by computational Schemes


In this paper, the novel exact solitary wave solutions for the generalized nonlinear Schr¨odinger equation with parabolic nonlinear (NL) law employing the improved cosh(Γ(ϖ))-sech(Γ(ϖ)) function scheme and the combined cos(Γ(ϖ))-sec(Γ(ϖ)) function scheme are found. Diverse collections of hyperbolic and trigonometric function solutions acquired rely on a map between the considered equation and an auxiliary ODE. Received solutions are recast in several hyperbolic, rational, and trigonometric forms based on different restrictions between parameters involved in equations and integration constants that appear in the solution. A few significant ones among the reported solutions are pictured to perceive the physical utility and peculiarity of the considered model utilizing mathematical software. The main subject of this work is that one can visualize and update the knowledge to overcome the most common techniques and defeat to solve the ODEs and PDEs. We demonstrated that these solutions validated the program using Maple and found them correct. The proposed methodology for solving the metamaterilas model has been designed to be effectual, unpretentious, expedient, and manageable. Applications of the solutions by the mentioned techniques will be useful to investigate the signals properties of optical fibers, plasma physics phenomena, electromagnetic fields occurrences and various types of nonlinear metamaterials models.

Jun, 2022
Partial Least Squares Regression Methods with Application of Mas Cement Factory in Sulaymaniyah Governorate

Humanities Journal of University of Zakho (Issue: 2) (Volume: 04. 2022)

This paper was dealing with variables for MAS Cement Factory where evince many problems, more than one variable dependent and presence the problem of multicollinearity and so presence the correlation between the predictive variables and the dependent variables and so smallness size the research sample. used the method, Partial Least Squares PLS to Solve the problems above, also considered as one of the methods which dally methodically different in deduction the Components dependent on curing the correlation the presence between the predictive variables and the dependent variables, more over this method is more competence in dealing with the problems above. Through the statistical analysis, the PLS method it has succeeded in establishing the optimal Regression model for all three depended variables for the data of this paper.

Sep, 2021
Multiple-order line rogue wave, lump and its interaction, periodic, and cross-kink solutions for the generalized CHKP equation

Propulsion and Power Research (Issue: 3) (Volume: 10)

The multiple-order line rogue wave solutions method is employed for searching the multiple soliton solutions for the generalized (2 þ 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-order waves solutions. At the critical point, the second-order derivative and Hessian matrix for only one point will be investigated and the lump solution has one minimum value. For the case, the lump solution will be shown the bright-dark lump structure and for another case can be present the dark lump structure-two small peaks and one deep hole. Also, the interaction of lump with periodic waves and the interaction between lump and soliton can be obtained by introducing the Hirota forms. In the meanwhile, the cross-kink wave and periodic wave solutions can be gained by the Hirota operator. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values. We alternative offer that the determining method is general, impressive, outspoken, and powerful and can be exerted to create exact solutions of various kinds of nonlinear models originated in mathematical physics and engineering

Jan, 2021
New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity

Mathematic Science

In this article, the mitigating Internet bottleneck including quadratic–cubic nonlinearity containing the ρ-derivative has been considered that describes the control of Internet traffic. This equation is analyzed utilizing two integration schemes, videlicet, the extended sinh-Gordon equation expansion technique and improved tan(Ξ/2)-expansion technique. Various kinds of traveling wave solutions by employing these schemes are presented: solitary, topological, periodic, kink-periodic, and soliton wave solutions. Moreover, the plenty of available solutions with guaranteed conditions are also presented. The restriction conditions for the existence of valid solutions are as well as listed. In order to shed more light on these novel solutions, graphical features 3D, 2D, and density with some suitable choice of parameter values have been depicted. The outcome indicates that the mitigating Internet bottleneck is used as an amplifying model in the applied sciences.