  The theory of temperature jets gets extended to account for the influence of
the beta effect on their dynamics. Including this effect noticeably changes
symmetry properties and laws of conservation inherent to models without the
beta effect. Especially nontrivial, the dynamics of jets become near the
equator, where the model admits multi-valued solutions that look like jets
crossing the equator. For example, the so-called loop solitons moving along the
equator with velocities inversely proportional to the cube of their amplitude
turn out among them. Estimates based on simple qualitative considerations show
that, owing to the beta effect, the temperature jets can form a specific
equatorial turbulence, in which they play the role of structural elements.
Notably, the spectral slope of the energy density at large wave numbers in such
turbulence becomes equal to unity.
