Natural fibres (NFRs) composite materials are acquiring popularity in the modern world due to their eco-friendliness and superior mechanical properties. Although it has been shown that determining this is a herculean endeavour in the literature, the water absorption (WA) qualities of the natural fibre (NFR) are crucial in the progressive degradation of the features of the resulting composites. This article seeks to report exhaustively on studies pertaining to the WA attributes of polymer composites reinforced with NFRs. This article provides an overview of NFR, its characterization, and the issues related to its addition to the matrix. The primary purpose of this research study is to investigate existing studies on the problems associated with the creation of cellulosic fibre hybrid composites, water absorption, and its impact on the tensile (TS), flexural (FS), and impact strength (IS) of NFR reinforced composites. We reviewed various surface treatments (ST) applied to NFR, including alkali treatment, silane treatment, acetylation, as well as recent advancements aimed at mitigating WA, enhancing hydrophobicity, and improving the interfacial bonding (IB) between NFR and the polymer matrix (PM). Additionally, we assessed the effectiveness of utilizing nanoparticles (NAPs) in specific ST of NFR to minimize water absorption. DOI : https://www.sciencedirect.com/science/article/pii/S0142941823001630
This paper obtains the soliton solution for the Calogero–Degasperis and the potential Kadomtsev–Petviashvili equations. The tanh–coth and the tan–cot methods are used to retrieve the solutions. Finally, the ansatz method is also used to integrate these equations with any arbitrary constant coefficients. Finally, a few numerical simulations are also given. DOI : https://www.sciencedirect.com/science/article/pii/S089812211100650X
In this paper, we established a traveling wave solution by using Sine-Cosine function algorithm for nonlinear partial differential equations. The method is used to obtain the exact solutions for different types of nonlinear partial differential equations such as, the (2+1) – dimensional nonlinear Schrödinger equation, The Schrödinger-Hirota equation, Gardner equation, modified KdV equation, perturbed Burgers equation, and general Burger’s-Fisher equation, which are the important Soliton equations. DOI : https://d1wqtxts1xzle7.cloudfront.net/32374226/2012_4_ijrras-journal_he1242_THE_SINE-COSINE_FUNCTION_METHOD_FOR_THE_EXACT_SOLUTIONS_OF_NONLINEAR_PARTIAL_DIFFERENTIAL_EQUATIONS-libre.pdf?1391626286=&response-content-disposition=inline%3B+filename%3DTHE_SINE_COSINE_FUNCTION_METHOD_FOR_THE.pdf&Expires=1712478355&Signature=OXBosU5MJG-6PzVq39QFlYeyuI49b5ivl9et~LJ4GAhuJIVW9XIafDJWZQJzApcXBiPLbq4KgX8CjcC5JByQbyVBbxCV6Jzb5gplQxCnZoTtN0jVvMuGozM7EnmkSpZaZo7I4iT91Y8inXtisARRvE2sxEH61tFpal0UTCBLe0ooEh7pu9Y53jmjaVyTFzxhs9A0jHLrWZyRuebBeslhDe8eDihiPgxOpXBwYAeZGvL-CEzGhxaeNSh1jolDf5oqARTOyER9EbJ2m4UhRj4Hf3-gLfcDzR3K5AKa7qUwHvixSf1WM-Ge-NHTayOmfnG~FGZx2lDAQRws2DBas-0OLg__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA
This paper obtains solitons as well as other solutions to a few nonlinear evolution equations that appear in various areas of mathematical physics. The two analytical integrators that are applied to extract solutions are tan–cot method and functional variable approaches. The soliton solutions can be used in the further study of shallow water waves in (1+1) as well as (2+1) dimensions. DOI : https://link.springer.com/article/10.1007/s12043-014-0818-2
This paper carries out the integration of a few nonlinear wave equations to obtain topological as well as non-topological soliton solutions. The mathematical techniques used to obtain the soliton solutions are He’s variational iteration method, the tanh method and the ansatz method. The nonlinear wave equations that are studied are coupled mKdV equations, Drinfeld–Sokolov equation and its generalized version. Finally, some numerical simulations are given to support the analytical solutions. DOI : https://www.sciencedirect.com/science/article/abs/pii/S0096300310003644
This work proposes a new kind of trajectory tracking controller for the differential drive mobile robot (DDMR), namely, the nonlinear neural network fractional-order proportional integral derivative (NNFOPID) controller. The suggested controller’s coefficients comprise integral, proportional, and derivative gains as well as derivative and integral powers. The adjustment of these coefficients turns the design of the proposed NNFOPID control further problematic than the conventional proportional-integral-derivative control. To handle this issue, an Enhanced Fruit Fly Swarm Optimization algorithm has been developed and proposed in this work to tune the NNFOPID’s parameters. The enhancement achieved on the standard fruit fly optimization technique lies in the increased uncertainty in the values of the initialized coefficients to convey a broader search space. subsequently, the search range is varied throughout the updating stage by beginning with a big radius and declines gradually during the course of the searching stage. The proposed NNFOPID controller has been validated its ability to track specific three types of continuous trajectories (circle, line, and lemniscate) while minimizing the mean square error and the control energy. Demonstrations have been run under MATLAB environment and revealed the practicality of the designed NNFOPID motion controller, where its performance has been compared with that of a nonlinear Neural Network Proportional Integral Derivative controller on the tracking of one of the aforementioned trajectories of the DDMR. DOI : https://journals.sagepub.com/doi/full/10.1177/00202940221092134
In this paper, tanh method is applied to obtain exact solutions for two systems of nonlinear wave equations, namely, two component evolutionary system of homogeneous KdV equations of order 3 (type I as well as type II). Moreover, traveling wave hypothesis is used to obtain sech solution of type II coupled KdV system, in a more general setting. The results show that this method presents exact solutions compared with other methods and it is a powerful tool for solving systems of nonlinear PDEs. DOI : https://journals.shirazu.ac.ir/article_1500_b1de5bfa94c97202cecf6de98fec73a4.pdf
This paper obtained singular and dark-singular combo solitons to Fokas–Lenells equation by the aid of traveling wave hypothesis. The modified simple equation scheme retrieved plane wave solutions to the model. The existence criteria of these waves are also presented. DOI : https://repository.ruc.edu.iq/submit-an-article/