Author: Anwar Ja'afar Mohamad Jawad

Soliton solutions for the Boussinesq equations

Based on three methods, exact solutions are obtained for cubic Boussinesq and modified Boussinesq equations. These are tanh method, sech method, and sine-cosine method. The obtained solutions contain solitary waves. The results reveal are very effective, convenient and quite accurate to such types of partial differential equations comparing with other methods. DOI : https://scik.org/index.php/jmcs/article/view/766

Solving Second Order Non-Linear Boundary Value Problems by Four Numerical Methods

The boundary value problems for the 2nd order non-linear ordinary differential equations are solved by using four numerical methods. These numerical methods are Rung-Kutta of 4th order, Rung–Kutta Butcher of 6th order, differential transformation method, and the Homotopy perturbation method. Three physical problems from the literature are solved by the four methods for comparing the results. The results were presented in tables and figures. The differential transformation method appeared to be effective and reliable to find the semi numerical-analytical solutions for such type of boundary value problems. DOI : https://www.iasj.net/iasj/download/aa715edd83124de3

An Automated Hyperparameter Tuning Recurrent Neural Network Model for Fruit Classification

Automated fruit classification is a stimulating problem in the fruit growing and retail industrial chain as it assists fruit growers and supermarket owners to recognize variety of fruits and the status of the container or stock to increase business profit and production efficacy. As a result, intelligent systems using machine learning and computer vision approaches were explored for ripeness grading, fruit defect categorization, and identification over the last few years. Recently, deep learning (DL) methods for classifying fruits led to promising performance that effectively extracts the feature and carries out an end-to-end image classification. This paper introduces an Automated Fruit Classification using Hyperparameter Optimized Deep Transfer Learning (AFC-HPODTL) model. The presented AFC-HPODTL model employs contrast enhancement as a pre-processing step which helps to enhance the quality of images. For feature extraction, the Adam optimizer with deep transfer learning-based DenseNet169 model is used in which the Adam optimizer fine-tunes the initial values of the DenseNet169 model. Moreover, a recurrent neural network (RNN) model is utilized for the identification and classification of fruits. At last, the Aquila optimization algorithm (AOA) is exploited for optimal hyperparameter tuning of the RNN model in such a way that the classification performance gets improved. The design of Adam optimizer and AOA-based hyperparameter optimizers for DenseNet and RNN models show the novelty of the work. The performance validation of the presented AFC-HPODTL model is carried out utilizing a benchmark dataset and the outcomes report the promising performance over its recent state-of-the-art approaches. DOI : https://www.mdpi.com/2227-7390/10/13/2358

Chirped singular and combo optical solitons for Chen–Lee–Liu equation with three forms of integration architecture

This paper retrieves chirped singular and bright-singular combo optical soliton solutions to the Chen–Lee–Liu equation. Three forms of independent intregration schemes are implemented to the model. They are csch function scheme, tanh–coth method and finally the modified simple equation approach. The integrability criteria for these are also presented. DOI : https://repository.ruc.edu.iq/submit-an-article/

Optical solitons with differential group delay for complex Ginzburg–Landau equation

This paper addresses optical solitons in birefringent fibers that is modeled by complex Ginzburg–Landau equation with Kerr law nonlinearity. Three forms of integration architecture retrieves soliton and other solutions to the model. The solitons are classified and their existence criteria are also presented. DOI : https://www.sciencedirect.com/science/article/pii/S2211379719334837

Soliton solutions to coupled nonlinear wave equations in (2 + 1)-dimensions

This paper implemented the tanh method to solve a few coupled nonlinear wave equations in (2 + 1)-dimensions. They are the Konopelchenko–Dubrovsky equation, dispersive long wave equation and the Riemann wave equation. Additionally, the traveling wave hypothesis is used to extract a few more solutons to some of these equations. Finally, the numerical simulations supplement these analytical results. DOI : https://link.springer.com/article/10.1007/s12648-012-0218-8

Resonant optical solitons with anti-cubic nonlinearity

This work obtains the integration of the resonant nonlinear Schrödinger’s equation, with anti-cubic nonlinearity, in presence of perturbation terms that are considered with full nonlinearity. The csch method, extended tanh–coth method and the modified simple equation method are applied to extract the analytical soliton solution. DOI : https://www.sciencedirect.com/science/article/abs/pii/S0030402617315450

Solition solutions of a few nonlinear wave equations in engineering sciences

This paper obtains the soliton and other solutions to a few nonlinear wave equations that arise on a daily basis in various engineering disciplines and other elds. The sine-cosine method is adopted to extract these solutions. The ansatz method is also implemented to obtain a singular soliton solution to the Schrodinger-Hirota equation that is studied in electrical engineering in the context of nonlinear ber optics. In this context, both Kerr law and power law nonlinearity are going to be addressed. There are several constraint conditions that will be listed in order for the solutions to exist. DOI : https://scientiairanica.sharif.edu/article_3525.html