Author: Anwar Ja'afar Mohamad Jawad

This paper obtains soliton and other solutions to the Gardner-Kadomtsev-Petviashvili equation that models shallow water wave equation in (1+2)-dimensions. There are three types of integration architectures that will be employed in order to obtain several forms of solution to this model. These are traveling wave hypothesis, improved G’/G-expansion method and finally the tanh-coth hypothesis. The constraint conditions that are needed, for these solutions to exist, are also reported. DOI : https://openurl.ebsco.com/EPDB%3Agcd%3A14%3A7457342/detailv2?sid=ebsco%3Aplink%3Ascholar&id=ebsco%3Agcd%3A114339852&crl=c

This study carries out the integration of Gerdjikov–Ivanov equation. The csch method, the extended tanh–coth method, and the modified simple equation method are utilized to extract the analytical soliton solutions. DOI : https://www.sciencedirect.com/science/article/abs/pii/S0030402618309744

Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to obtain the soliton solutions. The effectiveness of these methods is demonstrated by applications to the RKL model, the generalized derivative NLS equation. The solitary wave solutions and trigonometric function solutions are obtained. The obtained solutions are very useful in the nonlinear pulse propagation through optical fibers. DOI : https://www.hindawi.com/journals/aaa/2017/5137946/

In order to increase the robustness of natural fiber (NFR), hybridization with synthetic fibers is crucial. The widespread usage of hybrid composites (HCs) in modern structural applications reflects their increasing popularity. When compared to non-hybrid composites, hybridization offers additional advantages due to its combination of inexpensive, high-quality fibers that enhance the properties of a composite without a significant increase in cost. Although the mechanical properties (MP) of various HCs have not yet been explored in depth, it is one of the benefits brought by hybridization. This article reviews and analyzes the latest information on the MP of HCs composed of synthetic and natural fibers. It also conducts a critical analysis of the important information that can be gleaned from published research on the factors that influence the morphological characteristics, physical-mechanical attributes, benefits, and challenges associated with NFR-reinforced composites. As a result, this compilation provides an in-depth critical analysis of innovative treatment techniques that are suitable for enhancing interfacial bonding (IB) between NF and polymer matrix (PM) and their MP. Additionally, each category of HCs, including thermoset and thermoplastic polymers as well as bionanocomposites, is discussed. Overall, this comprehensive study demonstrates that lignocellulosic fibers are widely employed in composite reinforcement and confirms that the hybridization of various reinforcing fibers has synergistic impacts on the mechanical properties of HCs. DOI : https://www.sciencedirect.com/science/article/pii/S2238785423013947

This paper applies the variational iteration method (VIM) and semi-inverse variational principle to obtain solutions of linear and nonlinear partial differential equations. The nonlinear model is considered from gas dynamics, fluid dynamics and Burgers equation. The linear model is the heat transfer (diffusion) equation. Results show that variational iteration method is a powerful mathematical tool for solving linear and nonlinear partial differential equations, and therefore, can be widely applied to engineering problems. DOI : https://www.sciencedirect.com/science/article/abs/pii/S0096300311001718

In this article, the perturbed Gerdjikov-Ivanov equation, describing the dynamics of propagation of solitons, is studied. The balanced modified extended tanh-function and the non-balanced Riccati-Bernoulli Sub-ODE methods are used for the first time to obtain the new optical solitons of this equation. The obtained results give an accurate interpretation of the propagation of solitons. We performed a comparison between our results and those in the literature. The efficiency of these methods for constructing the exact solutions has been demonstrated. It is shown that these different techniques reduce the large number of calculations. DOI : https://www.scielo.org.mx/scielo.php?pid=S0035-001X2021000500004&script=sci_arttext

This paper obtains soliton and other solutions to the Gardner-Kadomtsev-Petviashvili equation that models shallow water wave equation in (1+2)-dimensions. There are three types of integration architectures that will be employed in order to obtain several forms of solution to this model. These are traveling wave hypothesis, improved G’/G-expansion method and finally the tanh-coth hypothesis. The constraint conditions that are needed, for these solutions to exist, are also reported. DOI : https://openurl.ebsco.com/EPDB%3Agcd%3A14%3A7457342/detailv2?sid=ebsco%3Aplink%3Ascholar&id=ebsco%3Agcd%3A114339852&crl=c