NEUTRONIC MODEL AND ITS SOLITARY WAVE SOLUTIONS FOR A CANDLE REACTOR

Abstract

A one-group diffusion equation coupled with slightly simplified burn-up equations is investigated for a burn-up drift wave problem, which is concerned with the recently developed concept of a so-called CANDLE reactor. By neglecting radioactive processes this one-dimensional system is integrable and a permanent plane solitary wave with an arbitrary amplitude exists for a suitable fuel composition. Theoretically, by adjusting the initial transverse fuel distribution, a 3-D permanent solitary wave pattern with a conventional transverse buckling shape can be also obtained.