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Modulational instability and rogue waves in one-dimensional nonlinear acoustic metamaterials: case of diatomic model

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In this paper, by means of the expanded Taylor series and Lindstedt-Poincaré perturbation methods, the coupled nonlinear Schrödinger equations (CNLSE) modeling the propagation of acoustic waves in acoustic metamaterial is… Click to show full abstract

In this paper, by means of the expanded Taylor series and Lindstedt-Poincaré perturbation methods, the coupled nonlinear Schrödinger equations (CNLSE) modeling the propagation of acoustic waves in acoustic metamaterial is obtained. Using these equations, the Modulational Instability (MI) phenomenon is observed in disturbance mode. Manakov integrable system is derived with suitable parameters and we shown that the Rogue Waves (RWs) can propagate diatomic acoustic metamaterials.

Keywords: acoustic metamaterials; waves one; modulational instability; rogue waves; instability rogue

Journal Title: Physica Scripta
Year Published: 2021

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