Boost Bjam has 3 different layouts of naming defined. To quote the help placed in Jamroot
file (I'm not aware of any better online documentation):
# --layout=<layout> Determines whether to choose library names
# and header locations such that multiple
# versions of Boost or multiple compilers can
# be used on the same system.
#
# versioned - Names of boost binaries
# include the Boost version number, name and
# version of the compiler and encoded build
# properties. Boost headers are installed in a
# subdirectory of <HDRDIR> whose name contains
# the Boost version number.
#
# tagged -- Names of boost binaries include the
# encoded build properties such as variant and
# threading, but do not including compiler name
# and version, or Boost version. This option is
# useful if you build several variants of Boost,
# using the same compiler.
#
# system - Binaries names do not include the
# Boost version number or the name and version
# number of the compiler. Boost headers are
# installed directly into <HDRDIR>. This option
# is intended for system integrators who are
# building distribution packages.
#
# The default value is 'versioned' on Windows, and
# 'system' on Unix.
The system
layout gives the naming scheme you want - plain basename without any other information.
Names for Boost output files according to these layouts are generated using the tag
rule, defined in boostcpp.jam
file.