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The study points out that the traditional solutions to wave equation ofdissipative wave and motion equation of block for a multi-degree-of-freedommass spring damper system are the possible solutions, which are not necessarilyobjective and conflict each other. The disturbance in discrete system likecrystals vibration can be expressed in differential form. A new generalsolution to dissipative wave equation is proposed with the general Fouriertransform. The solution reveals that the attenuation of the disturbance cansimultaneously occur in time and space domains. Then the general solution isused in case studies to analyze the properties of dissipative waves. It isconcluded that the properties of waves formulated with the same equation can bedifferent because of the difference of attenuation mechanism.

Solution to Waves in Dissipative Media with Reciprocal Attenuation in Time and Space Domains