Comment on "Non-reciprocal topological solitons in active metamaterials"

Duilio De Santis; Bernardo Spagnolo; Angelo Carollo; Davide Valenti; Claudio Guarcello

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arXiv · 2404.04275

Comment on "Non-reciprocal topological solitons in active metamaterials"

Duilio De Santis·Bernardo Spagnolo·Angelo Carollo·Davide Valenti·Claudio Guarcello

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Abstract

In the recent work "Non-reciprocal topological solitons in active metamaterials" (see arXiv:2312.03544v1), for an analytical understanding of the system under consideration, the authors derive an ordinary differential equation for the sine-Gordon (anti)soliton velocity, with the perturbation theory in the adiabatic approximation, via the inverse scattering transform formalism, see Eq. (3) in their work. Here we note that the latter equation for the (anti)soliton velocity also follows from an energy balance approach.

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Duilio De Santis, Bernardo Spagnolo, Angelo Carollo, Davide Valenti, Claudio Guarcello. 2024-03-29. Comment on "Non-reciprocal topological solitons in active metamaterials". https://arxiv.org/abs/2404.04275

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