  A new approach to the study of nonrelativistic bosonic string in flat space
time is introduced, basing on a holistic hamiltonian analysis of the minimal
action for the string. This leads to a structurally new form of the action
which is, however, equivalent to the known results since, under appropriate
limits, it interpolates between the minimal action (Nambu Goto type) where the
string metric is taken to be that induced by the embedding and the Polyakov
type of action where the world sheet metric components are independent fields.
The equivalence among different actions is established by a detailed study of
symmetries using constraint analysis. Various vexing issues in the existing
literature are clarified. The interpolating action mooted here is shown to
reveal the geometry of the string and may be useful in analyzing
nonrelativistic string coupled with curved background.
