TL;DR
This paper explores localized soliton-like solutions, called Q-holes, in a scalar condensate background, providing analytical solutions and analyzing their properties.
Contribution
It introduces and analyzes Q-hole solutions, a new class of localized dips or rises in charge distribution in scalar condensates, with explicit analytical forms.
Findings
Existence of Q-hole solutions in scalar condensates
Analytical expressions for certain Q-holes
Properties and stability analysis of these solutions
Abstract
We consider localized soliton-like solutions in the presence of a stable scalar condensate background. By the analogy with classical mechanics, it can be shown that there may exist solutions of the nonlinear equations of motion that describe dips or rises in the spatially-uniform charge distribution. We also present explicit analytical solutions for some of such objects and examine their properties.
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