Application of the (G′/G)-expansion method to nonlinear blood flow in large vessels

Abstract

The (G ′ /G)-expansion method is applied to the one-dimensional Navier-Stokes equations that usually model blood flow in large vessels. A nonlinear stress-strain condition is applied and different types of travelling waves solutions are found. The shape of the pressure of blood waves and their biological implications are discussed.

The modified alternative (G’/G)-expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel’d-Sokolov-Wilson equation

“…Applications of the ( G ’/ G )-expansion method can be found in the articles (Bekir 2008; Naher et al 2011; Akbar et al 2012; Kol & Tabi 2011; Zayed & Gepreel 2009; Zayed 2009a; Zhang et al 2008a; Zhang et al 2008b; Abazari 2010; Liu et al 2010) for better understanding.…”