General solution to wave equation in one dimension¶
Any function of a single variable can be a solution of the wave equation if it depends on the phase of the wave, i.e. the position and time variables only appear in its expression in the form of the wave phase.
Links:
- displacement¶
Displacement from rest in the wave. Usually depends on position and time.
- Symbol:
u- Latex:
\(u\)
- solution¶
One-argument solution function of the wave equation.
- Symbol:
f(phi)- Latex:
\(f(\varphi)\)
- law¶
u = f(phi)- Latex:
- \[u = f(\varphi)\]