Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation
D. L. Kovrizhin
Abstract
In the paper we present the exact solutions of one-dimensional Nonlinear Schrödinger Equation. The solutions correspond to the Bogoliubov excitations in Bose-gas with a local interaction. The obtained expression is used for evaluating the transmission coefficient of the excitations across a delta-functional potential barrier.
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