Solitonic solutions for the generalized twovelocity Boltzmann equation
Abstract
We obtain solitonic solutions for an inhomogeneous model Boltzmann equation which describes a two velocity onedimensional gas diffusing in a background when remotion and regeneration processes are allowed. These solutions are obtained as a series expansion in the similarity variable, whose coefficients can be exactly found within a recursive scheme. The solitons describe a shapepreserving distribution function which approaches a stationary value as time elapses. The particular case in which remotion and regeneration events are neglected can be solved in a closed form.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 December 1988
 DOI:
 10.1016/03784371(88)902452
 Bibcode:
 1988PhyA..153..612Z