  Using the reality condition of the solutions, one constructs the Mach-type
soliton of the Novikov-Veselov equation by the minor-summation formula of the
Pfaffian. We study the evolution of the Mach-type soliton and find that the
amplitude of the Mach stem wave is less than two times of the one of the
incident wave. It is shown that the length of the Mach stem wave is linear with
time. One discusses the relations with V -shape initial value wave for
different critical values of Miles parameter.
