Acoustic wave structures for the confirmable time-fractional Westervelt equation in ultrasound imaging

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, the acoustic nonlinear equation namely the confirmable time-fractional Westervelt equation is under consideration analytically. This equation is applicable in the wave propagation of sound and high amplitude in medical imaging and therapy. The different types of wave structures are constructed for the confirmable time-fractional Westervelt equation by using two different techniques namely as, the modified exponential rational functional method and the modified G'/G(2)-model expansion method. With the help of these two techniques, we gain the different hyperbolic, exponential, periodic, and plane wave function solutions. Additionally, to show the graphical behavior of the wave structure, the 3D, 2D, and their corresponding contour representations are drawn by the different choices of parameters.

Açıklama

Anahtar Kelimeler

Confirmable time-fractional Westervelt, equation (CTFWVE), Acoustic wave structures, Modified exponential rational functional, method, Modified G'/G(2)-model expansion method

Kaynak

Results in Physics

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

49

Sayı

Künye