  A special initial condition for (1+1)-dimensional Burgers equation is
considered. It allows to obtain new analytical solutions for an arbitrary low
viscosity as well as for the inviscid case. The viscous solution is written as
a rational function provided the Reynolds number (a dimensionless value
inversely proportional to the viscosity) is a multiple of two. The inviscid
solution is expressed in radicals. Asymptotic expansion of the viscous solution
at infinite Reynolds number is compared against the inviscid case. All
solutions are finite, tend to zero at infinity and therefore are physically
viable.
