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Are there wave motions that can be descr...

Are there wave motions that can be described by the known simple functions, such as sin or cos ?

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Yes, there is an important class of wave motions called harmonic waves for which the wave function is
`y=A sin (ax -bt + phi)`
The set of four parameters A, `phi`, a and b completely describe an harmonic wave . A is called the amplitude, `phi` is the initial phase, parameters a and b are related to the wavelength and the speed of the wave or equivalently to the wavelength and frequency of the wave.
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