The aim of this section is to understand the traveling wave solution.
We all know about our favorite function – ‘The sinusoid’.
becomes 0 whenever i.e
Now the form of the traveling sine wave is as follows:
When does the value for y become 0 ? Well, it is when
As you can see this value of is dependent on the value of time ,which means that the points where moves to the right as time progresses.
Here is a slowly moving forward sine wave for reference.
You can now try to convince yourself that a sine wave moving to the left is given by :
** The general form of a traveling wave is . For the sake of simplicity we have considered the case where but understand that you can apply the same argument to any value of as well.