Hulya Durur¹, Asıf Yokuş², Doğan Kaya³, Hijaz Ahmad^4,*

Sound & Vibration, Vol.55, No.3, pp. 241-251, 2021, DOI:10.32604/sv.2021.014157

Abstract In this paper, sub equation and expansion methods are proposed to construct exact solutions of a nonlinear longitudinal wave equation (LWE) in a magneto-electro-elastic circular rod. The proposed methods have been used to construct hyperbolic, rational, dark soliton and trigonometric solutions of the LWE in the magneto-electro-elastic circular rod. Arbitrary values are given to the parameters in the solutions obtained. 3D, 2D and contour graphs are presented with the help of a computer package program. Solutions attained by symbolic calculations revealed that these methods are effective, reliable and simple mathematical tool for finding solutions of nonlinear evolution equations arising in… More >

K. Sayevand¹, Yasir Khan², E. Moradi³, M. Fardi⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.105, No.5, pp. 361-373, 2015, DOI:10.3970/cmes.2015.105.361

Abstract In this study, the solitary wave solutions for third order equal-width wave-Burgers (EW-Burgers) equation, the second order Bratu and sinh-Bratu type equations will be discussed. The EW-Burgers equation models the propagation of nonlinear and dispersive waves with certain dissipative effects and furthermore the Bratu type problem appears a simplification of the solid fuel ignition model in thermal combustion theory. Our methodology, is investigated by using (G'/G)- expansion method. The obtained results can be extended to the other models. More >