  Bifurcations of self-similar solutions for reversing interfaces are studied
in the slow diffusion equation with strong absorption. The self-similar
solutions bifurcate from the time-independent solutions for standing
interfaces. We show that such bifurcations occur at the bifurcation points, at
which the confluent hypergeometric functions satisfying Kummer's differential
equation is truncated into a finite polynomial. A two-scale asymptotic method
is employed to obtain the asymptotic dependencies of the self-similar reversing
interfaces near the bifurcation points. The asymptotic results are shown to be
in excellent agreement with numerical computations.
