Title of article :
On the new wave behavior of the Magneto-Electro-Elastic(MEE) circular rod longitudinal wave equation
Author/Authors :
Alp ̇Ilhan, Onur Erciyes Univeristy - Faculty of Education - Melikgazi-Kayseri, Turkey , Bulut, Hasan Firat University - Department of Mathematics, Turkey , Sulaiman, Tukur A Firat University - Department of Mathematics, Turkey , Mehmet Baskonus, Haci Harran University - Faculty of education - Department of Mathematics, Turkey
Abstract :
The analytical solution of the longitudinal wave equation in the MEE circular rod is analyzed by the powerful sine-Gordon expansion method. Sine - Gordon expansion is based on the well-known wave transformation and sine - Gordon equation. In the longitudinal wave equation in mathematical physics, the transverse Poisson MEE circular rod is caused by the dispersion. Some solutions with complex, hyperbolic and trigonometric functions have been successfully implemented. Numerical simulations of all solutions are given by selecting the appropriate parameter values. The physical meaning of the analytical solution explaining some practical physical problems is given.
Keywords :
The SGEM , longitudinal wave equation in a MEE circular rod , complex , hyperbolic , trigonometric function solutions
Journal title :
International Journal of Optimization and Control: Theories and Applications
