The simplest solutions are the infinite plane waves which in one dimension are. In this form the solution for the amplitude of harmonic sinusoidal standing waves on a string fixed at both ends described above is. The nth possible standing wave has a frequency of n times the fundamental harmonic which means that the each time we add an antinode we get the next-highest harmonic and the number of antinodes equals the order of the harmonic.
The simplest definition of a wave would be a function that satisfies the wave equation.
The speed of a wave can be calculated from its wavelength and frequency using the wave equation. The speed of a wave can be calculated from its wavelength and frequency using the wave equation. Specifically if L is the length of the string and v is the translational speed of waves on the string then the. The lowest frequency that will produce a standing wave is known as the fundamental frequency.