@article{MAKHILLJMMS20137328189,
    title = {Study of Viscoelastic Model for Longitudinal Wave Propagation in a Non-Homogeneous Viscoelastic Filament},
    journal = {Journal of Modern Mathematics and Statistics},
    volume = {7},
    number = {3},
    pages = {26-31},
    year = {2013},
    issn = {1994-5388},
    doi = {jmmstat.2013.26.31},
    url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2013.26.31},
    author = {R.,K. and},
    keywords = {Longitudinal waves,variable density,viscoelastic media,Friedlander series,India},
    abstract = {This study is concerned to check the validity of a five parameter 
  viscoelastic model for longitudinal wave propagating in the non-homogeneous 
  viscoelastic rods. In this study, it is assumed that density (ρ), rigidity 
  (G) and viscosity (η) of the specimen, i.e., rod are space dependent and 
  obey the laws <img src="http://docsdrive.com/images/medwelljournals/jmmstat/2013/img1-2k13-26-31.gif" width="54" height="14" align="absmiddle"> 
  <img src="http://docsdrive.com/images/medwelljournals/jmmstat/2013/img2-2k13-26-31.gif" width="133" height="16" align="absmiddle"> 
  . The method of non-linear partial differential equation (Eikonal equation) 
  has been used for finding the dispersion equation of longitudinal waves.}
    }