  The solar radiation in the Lyman-alpha spectral line of hydrogen plays a
significant role in the illumination of chromospheric and coronal structures,
such as prominences, spicules, chromospheric fibrils, cores of coronal mass
ejections, and solar wind. Moreover, it is important for the investigation of
the heliosphere, Earth's ionosphere, and the atmospheres of planets, moons, and
comets. We derive a reference quiet-Sun Lyman-alpha spectral profile that is
representative of the Lyman-alpha radiation from the solar disk during a
minimum of solar activity. This profile can serve as an incident radiation
boundary condition for the radiative transfer modelling of chromospheric and
coronal structures. Because the solar radiation in the Lyman lines is not
constant over time but varies significantly with the solar cycle, we provide a
method for the adaptation of the incident radiation Lyman line profiles
(Lyman-alpha and higher lines) to a specific date. Moreover, we analyse how the
change in the incident radiation influences the synthetic spectra produced by
the radiative transfer modelling. To take into account the Lyman-alpha
variation with the solar cycle, we used the LISIRD composite Lyman-alpha$
index. To estimate the influence of the change in the incident radiation in the
Lyman lines on the results of radiative transfer models, we used a 2D
prominence fine structure model. The analysis of the influence of the change in
the incident radiation shows that the synthetic spectra are strongly affected
by the modification of the incident radiation boundary condition. The hydrogen
H alpha line can also be considerably affected, despite the fact that the H
alpha radiation from the solar disk does not vary with the solar cycle.
