text: Subrahmanyan Chandrasekhar provided the explicit solution in 1943 when the initial condition is linear, i.e., , where a and b are constants. The explicit solution is
  This solution is also the complete integral of the inviscid Burgers equation because it contains as many arbitrary constants as the number of independent variables appearing in the equation. Using this complete integral, Chandrasekhar obtained the general solution described for arbitrary initial conditions from the envelope' of the complete integral.