Hello Pablo,
well, I am not sure if the situation in the model I refer to is an antidune as wikipedia describes it:
Wikipedia-Antidune, but the setting is similar. For an antidune, you need a supercritical flow; a dune grows against the current and it grows also in the amplitude -- well, until a breakup or, maybe drying out occurs. Very strongly interacting with the current, so something the classical Exner equation is not supposed to describe... Anyway, also by subcritical flow -- deposition (by bed load) of material against the direction of the current and transport.
I would be very thankful for a clear statement if this kind of situation can be modelled with Sisyphe.
Best regards,
jaj