A direct derivation of the dark soliton excitation energy
Li-Chen Zhao,
Yan-Hong Qin,
Wenlong Wang
et al.
Abstract:Dark solitons are common topological excitations in a wide array of nonlinear waves. The dark soliton excitation energy, crucial for exploring dark soliton dynamics, is necessarily calculated in a renormalized form due to its existence on a finite background. Despite its tremendous importance and success, the renormalized energy form was firstly only suggested with no detailed derivation, and was then "derived" in the grand canonical ensemble. In this work, we revisit this fundamental problem and provide an al… Show more
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