Bright, dark, and singular solitons in magneto-electro-elastic circular rod. (English) Zbl 1397.78039
Summary: In this article, the bright, dark, and singular solitons are being constructed for nonlinear longitudinal wave equation with dispersion caused by transverse Poisson’s effect in a magneto-electro-elastic circular rod. The solitary wave ansatz is used to carry out these solutions. The constraint conditions, for the existence of the soliton solutions, are also listed. This article provides a lot of encouragement for the researchers in this era.
MSC:
| 78A48 | Composite media; random media in optics and electromagnetic theory |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74F15 | Electromagnetic effects in solid mechanics |
| 35Q51 | Soliton equations |
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