Generalized Lagrangian for canonical and non-canonical scalar field

In this paper, we proposed a generalized Lagrangian for three different classes of scalar fields namely quintessence (alpha = -1), phantom (alpha = 0) and tachyonic (alpha = 1) parameterized by alpha. These three scalar fields can be described by a common single Lagrangian called generalized scalar field Lagrangian (GSL). We obtain mathematically consistent forms of generalized equations of motion parameterized by alpha. It can recover the individual equation of motion of quintessence, phantom and tachyon scalar fields from generalized equation of motion of the unified scalar field.