  In this paper, an elegant mathematical approach is introduced to solve the
equations of warm inflationary model without using extra approximations other
than slow-roll. This important inflationary method known as Hamilton-Jacobian
formalism. Here tachyon field and the imperfect fluid are considered to be the
cosmic ingredients to create inflation. A general formalism is developed for
the considered inflationary model and further work is restricted to weak
dissipative regime. A detailed analysis of the model is presented for three
different choices of bulk and dissipative coefficients taking as constant as
well as variable (function of Hubble parameter and inflaton). In each case, the
involved model parameters are constrained to plot the physical acceptable range
of scalar spectral index and tensor to scalar ratio. The parametric
trajectories proved that the acquired results for all the three cases are
compatible with Planck astrophysical data. Furthermore, the existence of warm
inflation and slow-roll limit are also verified graphically.
