TY - JOUR
TI - Analytical and semi-analytical wave solutions for longitudinal wave equation via modified auxiliary equation method and Adomian decomposition method
AU - Alderremy A A
AU - Attia Raghda A. M.
AU - Alzaidi J F
AU - Lu Dianchen
AU - Khater Mostafa M. A.
JN - Thermal Science
PY - 2019
VL - 23
IS - 16
SP - 1943
EP - 1957
PT - Article
AB - This paper studies the analytical and semi-analytical wave solutions for the  longitudinal wave equation. Moreover, it examines the performance of the  modified auxiliary equation method and Adomian decomposition method on this  model. This model describes the dispersion in the circular rod that  dispersion caused by the transverse Poisson’s effect in  electro-magnetoelastic (EME). Many explicit wave solutions are found by  using the analytical technique. These solutions allow studying the physical  properties of this model. The comparison between the analytical and  semi-analytical solutions is discussed to show the value of the absolute  error between them.