Spatially localized nonlinear magnetoelastic waves in an electrically conductive micropolar medium. (English) Zbl 1543.74058
The authors consider a nonlinear magnetoelastic model. In this setting, one-dimensional nonlinear magnetoelastic shear-rotation wave equation is derived and studied. Dropping out nonlinear terms of smaller magnitude, a simplified nonlinear equation is derived. The solutions are studied under traveling wave assumption. The stationary waves constituting subsonic and supersonic solitons are derived and graphically presented. A qualitative behavior of such solitons is pointed out.
Reviewer: Fiazud Din Zaman (Lahore)
MSC:
| 74J30 | Nonlinear waves in solid mechanics |
| 74J35 | Solitary waves in solid mechanics |
| 74F15 | Electromagnetic effects in solid mechanics |
| 74A35 | Polar materials |
Keywords:
bending-torsion tensor; Lorentz force; shear-rotation wave equation; traveling wave approximation; subsonic/supersonic solitonReferences:
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