Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
نویسندگان
چکیده
This article deals with the study of ultrasound propagation, which propagates mechanical vibration molecules or particles a material. It measures speed sound in air. For this reason, third-order non-linear model Westervelt equation was chosen to be studied, as solutions such problems have much importance for physical purposes. In article, we discuss exact solitary wave an acoustic pressure p representing high intensity, used tomography. Moreover, coefficient B/A (being part space-dependent K), has also been investigated literature. problem is solved using Generalized Kudryashov method along comparison Modified method. All discussed both surface and contour plots, shows behavior solution. The images are prepared well-established way, showing production tissues inside human body.
منابع مشابه
Exact Solutions of the Kudryashov-Sinelshchikov Equation by Modified exp-Function Method
In this paper, the modified exp-function method is used to seek generalized wave solutions of Kudryashov-Sinelshchikov equation. As a result, some new types of exact traveling wave solutions for arbitrary α, β are obtained which include exponential function, hyperbolic function and trigonometric function. The related results are extend. Obtained results clearly indicate the reliability and effi...
متن کاملApplication of the Kudryashov method and the functional variable method for the complex KdV equation
In this present work, the Kudryashov method and the functional variable method are used to construct exact solutions of the complex KdV equation. The Kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.
متن کاملExact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method
Nonlinear evolution equations are widely used to describe complex phenomena in various sciences such as fluid physics, condensed matter, biophysics, plasma physics, nonlinear optics, quantum field theory and particle physics, etc. In recent years, various powerful methods have been presented for finding exact solutions of the nonlinear evolution equations in mathematical physics, such as, tanh ...
متن کاملFast Ultrasound Image Simulation Using the Westervelt Equation
The simulation of ultrasound wave propagation is of high interest in fields as ultrasound system development and therapeutic ultrasound. From a computational point of view the requirements for realistic simulations are immense with processing time reaching even an entire day. In this work we present a framework for fast ultrasound image simulation covering the imaging pipeline from the initial ...
متن کاملPeriodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation
A mixture of liquid and gas bubbles of the same size may be considered as an example of a classic nonlinear medium. In practice, analysis of propagation of the pressure waves in a liquid with gas bubbles is important problem. We know that there are solitary and periodic waves in a mixture of a liquid and gas bubbles and these waves can be described by nonlinear partial differential equations. A...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied sciences
سال: 2022
ISSN: ['2076-3417']
DOI: https://doi.org/10.3390/app122211813