  Based on the reflection-asymmetric Nilsson potential, the parity-doublet
rotational bands in odd-$A$ isotones \element{237}U and \element{239}Pu have
been investigated by using the particle-number-conserving (PNC) method in the
framework of the cranked shell model (CSM). The experimental kinematic moments
of inertia (MOIs) and angular momentum alignments are reproduced very well by
the PNC-CSM calculations. The significant differences of rotational properties
between \element{237}U and \element{239}Pu are explained with the contribution
of nucleons occupying proton octupole-correlation pairs of $\pi ^{2}
i_{13/2}f_{7/2}$. The upbendings of moments of inertia of the parity-doublet
bands in \element{237}U are due to the interference terms of alignments of
protons occupying $\pi f_{7/2}$ (${1/2}$) and the high-$j$ intruder $\pi
i_{13/2}$ $(1/2, 3/2)$ orbitals. The splittings between the simplex partner
bands of the parity-doublet bands in both \element{237}U and \element{239}Pu
result from the contribution of alignment of neutron occupying the $\nu
d_{5/2}$ ($1/2$) orbital.
