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Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
; ; ; ; ; De la Sen Parte, Manuel 
(MDPI, 2022-11-21)
(MDPI, 2022-11-21)
This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air. For this reason, the third-order ...
A Nonlinear Structure of a Chemical Reaction Model and Numerical Modeling with the New Aspect of Existence and Uniqueness
; ; ; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2022-12-22)
(MDPI, 2022-12-22)
In this article, a nonlinear autocatalytic chemical reaction glycolysis model with the appearance of advection and diffusion is proposed. The occurrence and unicity of the solutions in Banach spaces are investigated. The ...
On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise
; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2023-03-17)
(MDPI, 2023-03-17)
In this study, we consider the stochastic Konno–Oono system to investigate the soliton solutions under the multiplicative sense. The multiplicative noise is considered firstly in the Stratonovich sense and secondly in the ...
Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study
; ; ; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2023-01-12)
(MDPI, 2023-01-12)
In this article, the transmission dynamical model of the deadly infectious disease named Ebola is investigated. This disease identified in the Democratic Republic of Congo (DRC) and Sudan (now South Sudan) and was identified ...