Solitary dynamics of longitudinal wave equation arises in magneto-electro-elastic circular rod
Naila Sajid, Ghazala Akram
Abstract
This paper examines the effectiveness of an integration scheme, which called the extended modified auxiliary equation mapping method in exactly solving a well-known non-linear longitudinal wave equation with dispersion caused by transverse Poisson’s effect arises in a magneto-electro-elastic (MEE) circular rod. Explicit new exact solutions are derived in different form such as hyperbolic, kinky, anti-kinky, dark, and singular solitons of the longitudinal wave equation. The movements of obtained solutions are shown graphically, which helps to understand the physical phenomena.
Topics & Concepts
PhysicsMagnetoClassical mechanicsTransverse planeMathematical analysisWave equationDispersion (optics)Poisson's equationDynamics (music)MechanicsMathematicsOpticsQuantum mechanicsAcousticsMagnetStructural engineeringEngineeringNonlinear Waves and SolitonsNonlinear Photonic SystemsNumerical methods in engineering