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arXiv · 2207.04938

Contribution to the theory of waves in multi-dimensional linear dispersive media

V. G. Gnevyshev·S. I. Badulin
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Abstract

The asymptotic solutions for linear waves generated by oscillating source of elliptic shape in the motionless media is constructed with the recently developed Reference Solution Approach (RSA). Pronounced anisotropy of the solutions is found for elongated sources both for amplitudes and phases of the resulting wave pattern. The classic Kelvin angles of the ship wave patterns determine specific directions of this anisotropy, thus, demonstrating the role of wave dispersion. The analytical results within the RSA are shown to agree remarkably well with exact solutions of the linear wave problem.

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V. G. Gnevyshev, S. I. Badulin. 2022-07-11. Contribution to the theory of waves in multi-dimensional linear dispersive media. https://arxiv.org/abs/2207.04938

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