Abstract:This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity. Exact one-soliton solutions are derived for a generalized case of the NLSE with the aid of software symbolic computations. The modified Kudryashov simple equation method (MSEM) is employed for this purpose under some parametric constraints. The computational work shows the difference, effectiveness, reliability, and power of the considered scheme. Thi… Show more
“…We can apply the GFD method to compare the Sobel, Prewitt and Robert edge detection method’s complexity of the various COVID-19 patient’s images. The qualitative measure is useful during image processing, distortion caused by noise, blurring, sounds and abstract artifacts will impair image quality [ 11 ]–[ 18 ]. When doing other qualities with distorted images, the value of the uncompressed image is useful.…”
The coronavirus, also known as COVID-19, has become highly contagious and has been associated with one of the world’s deadliest diseases. It also has direct effects on human lungs, causing significant damage. CT-scans are commonly employed in such circumstances to promptly evaluate, detect, and treat COVID-19 patients. Without any filtering, CT-scan images are more difficult to identify the damaged parts of the lungs and determine the severity of various diseases. In this paper, we use the multifractal theory to evaluate COVID-19 patient’s CT-scan images to analyze the complexity of the various patient’s original, filtered, and edge detected CT-scan images. To precisely characterize the severity of the disease, the original, noisy and denoised images are compared. Furthermore, the edge detection and filtered methods called Robert, Prewitt, and Sobel are applied to analyze the various patient’s COVID-19 CT-scan images and examined by the multifractal measure in the proposed technique. All of the images are converted, filtered and edge detected using Robert, Prewitt, and Sobel edge detection algorithms, and compared by the Generalized Fractal Dimensions are compared. For the CT-scan images of COVID-19 patients, the various Qualitative Measures are also computed exactly for the filtered and edge detected images by Robert, Prewitt, and Sobel schemes. It is observed that Sobel method is performed well for classifying the COIVD-19 patients’ CT-scans used in this research study, when compared to other algorithms. Since the image complexity of the Sobel method is very high for all the images and then more complexity of the images contains more clarity to confirm the COVID-19 images. Finally, the proposed method is supported by ANOVA test and box plots, and the same type of classification in experimental images is explored statistically.
“…We can apply the GFD method to compare the Sobel, Prewitt and Robert edge detection method’s complexity of the various COVID-19 patient’s images. The qualitative measure is useful during image processing, distortion caused by noise, blurring, sounds and abstract artifacts will impair image quality [ 11 ]–[ 18 ]. When doing other qualities with distorted images, the value of the uncompressed image is useful.…”
The coronavirus, also known as COVID-19, has become highly contagious and has been associated with one of the world’s deadliest diseases. It also has direct effects on human lungs, causing significant damage. CT-scans are commonly employed in such circumstances to promptly evaluate, detect, and treat COVID-19 patients. Without any filtering, CT-scan images are more difficult to identify the damaged parts of the lungs and determine the severity of various diseases. In this paper, we use the multifractal theory to evaluate COVID-19 patient’s CT-scan images to analyze the complexity of the various patient’s original, filtered, and edge detected CT-scan images. To precisely characterize the severity of the disease, the original, noisy and denoised images are compared. Furthermore, the edge detection and filtered methods called Robert, Prewitt, and Sobel are applied to analyze the various patient’s COVID-19 CT-scan images and examined by the multifractal measure in the proposed technique. All of the images are converted, filtered and edge detected using Robert, Prewitt, and Sobel edge detection algorithms, and compared by the Generalized Fractal Dimensions are compared. For the CT-scan images of COVID-19 patients, the various Qualitative Measures are also computed exactly for the filtered and edge detected images by Robert, Prewitt, and Sobel schemes. It is observed that Sobel method is performed well for classifying the COIVD-19 patients’ CT-scans used in this research study, when compared to other algorithms. Since the image complexity of the Sobel method is very high for all the images and then more complexity of the images contains more clarity to confirm the COVID-19 images. Finally, the proposed method is supported by ANOVA test and box plots, and the same type of classification in experimental images is explored statistically.
“…A Multifractal is an inhomogeneous set that is defined by the Generalized Fractal Dimensions (GFD) or Renyi Fractal Dimensions. The GFD is used to analyze, characterize, and quantify the irregular structure of the signals and images [ 12 – 18 ]. Fig.…”
“…As a result, the study of nonlinear wave structures has latterly received a lot of attention. The Tanh-coth expansion function technique [8,9], the sub ODE method [10,11], the sine-Gordon technique [12][13][14], the first integral technique [15][16][17], the modified Kudryashov approach [18] , the extended simplest equation method [19][20][21], the modified simple equation method [22][23][24], the Kudryashovexpansion method [25], the Lie symmetry technique [26,27], the extended Tanh technique [28,29], the modified Khater method [30], and the Homogeneous balance method [31,32], are some of the key approaches which have been found in current decades.…”
In this study we investigate Boiti-Leon-Manna-Pempinelli equation in three dimensions, which describes the evolution of the horizontal velocity component of water waves propagating in the xy-plane in an infinite narrow channel of constant depth and that can be considered as a model for incompressible fluid. The new (F/G)-expansion approach and the unified approach are employed to construct some new traveling wave solutions to the nonlinear model. A large numbers of traveling wave solutions for the nonlinear model are demonstrated respectively in the form of hyperbolic and trigonometric function solutions. The proposed methods are also proved to be effective in solving nonlinear evolution problems in mathematical physics and engineering
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