Abstract
In this paper, 1-soliton and two kinds of peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod are presented for the first time. The soliton ansatz will be applied to give 1-soliton solution; then, peaked solitary wave solutions are obtained by using direct integration with boundary condition and symmetry condition. At last, numeric graphs are provided for solitary wave solutions.
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