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- W4293396875 abstract "We derive and discuss the complete set of exact solutions to the one-dimensional Bogoliubov-de Gennes equations for small amplitude excitations around general grey soliton solutions to the cubic nonlinear Schrodinger equation. Our results extend the previously known case of the motionless dark soliton background. We derive our non-zero frequency solutions using a variant of the factorization method for Schrodinger equations with reflectionless potentials. We also discuss the zero mode solutions at length." @default.
- W4293396875 created "2022-08-28" @default.
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- W4293396875 date "2011-04-05" @default.
- W4293396875 modified "2023-09-26" @default.
- W4293396875 title "Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds" @default.
- W4293396875 doi "https://doi.org/10.48550/arxiv.1104.0886" @default.
- W4293396875 hasPublicationYear "2011" @default.
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