  A Bohmian analysis of the so-called Schr\"{o}dinger-Langevin or Kostin
nonlinear differential equation is provided to study how thermal fluctuations
of the environment affects the dynamics of the wave packet from a quantum
hydrodynamical point of view. In this way, after obtaining the
Schr\"{o}dinger-Langevin-Bohm equation from the Kostin equation its application
to simple but physically insightful systems such as the Brownian-Bohmian
motion, motion in a gravity field and transmission through a parabolic repeller
is studied. % If a time-dependent Gaussian ansatz for the probability density
is assumed, the effect of thermal fluctuations together with thermal wave
packets leads to Bohmian stochastic trajectories. From this trajectory based
analysis, quantum and classical diffusion coefficients for free particles,
thermal arrival times for a linear potential and transmission probabilities and
characteristic times such as arrival and dwell times for a parabolic repeller
are then presented and discussed.
