  The origin of 1D spirals or antisymmetric 1D pulses is explaind so far on the
basis of multistability of spatially inhomogeneous and temporally oscillatory
phases and so called nonvariational effects. Thus, coupled amplitude equations
which are valid near a co-dimention 2 point and provides with the necessary
multistable environment are commonly in use in the numerical calculations to
generate such structures. In the present work we analytically show that a
complex Ginzburg-Landau type amplitude equation which is valid in the Hopf
region of phase space near an instability threshold admits solutions like
antisymmetric pulses traveling in alternate directions from a core. The pulses
can have well defined spatial profile like Hermite polynomial of order unity on
the side of the direction of its motion. Thus, a pulse moving in the positive
direction of x-axis from near a core at origin will be a peak while that moving
in the negative direction is a trough and a temporal oscillation of such
structures would give the impression of alternative peak and troughs are moving
appart being generated from a common core.
