  The study points out that the traditional solutions to wave equation of
dissipative wave and motion equation of block for a multi-degree-of-freedom
mass spring damper system are the possible solutions, which are not necessarily
objective and conflict each other. The disturbance in discrete system like
crystals vibration can be expressed in differential form. A new general
solution to dissipative wave equation is proposed with the general Fourier
transform. The solution reveals that the attenuation of the disturbance can
simultaneously occur in time and space domains. Then the general solution is
used in case studies to analyze the properties of dissipative waves. It is
concluded that the properties of waves formulated with the same equation can be
different because of the difference of attenuation mechanism.
