INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, vol.10, no.1, pp.1-8, 2020 (ESCI)
Article / Article
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA
Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Communication Abstracts, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
The SGEM, Longitudinal wave equation, MEE circular rod, ELLIPTIC FUNCTION EXPANSION, SOLITON-SOLUTIONS, EXPLICIT, SYSTEMS
Erciyes University Affiliated:
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 trans-verse 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.