  In this work we study the Cauchy problem in Gevrey spaces for a generalized
class of equations that contains the case $b=0$ of the $b$-equation. For the
generalized equation, we prove that it is locally well-posed for initial data
in Gevrey spaces. Moreover, as we move to global well-posedness, we show that
for a particular choice of the parameter in the equation the local solution is
global analytic in both time and spatial variables.
