Hello,

A traveling wave solution of the system has the form v ( x , t ) = v ( k x − ω t ) , where denotes the wave number and the frequency of the traveling wave with the dispersion relation determined by the dynamical equation.

A traveling wave is a wave in which the particles of the medium move progressively in the direction of the wave propagation with such a gradation of speeds that the faster overtake the slower and are themselves in turn overtaken.

Thank you.

Dear aspirant,

The travelling wave equation can be written as A = sin(wt-kx), where k is the wave number which equals to 2pi/lambda.

With the help of k the travelling wave equation becomes more easier . Through k wave number can also be calculated. So, with the help of this equation you can easily solve the problems in the examination.

Dear aspirant,

In the wave equation A sin(wt-kx), k is a quantity called wave number which equals to 2 pi / lambda.

This value of k is been is being used to determine the value of k. So it's been more easier to write down the equation. With the help of k wave speed can also be calculated.

So, with this equation you can solve any problem based on travelling wave. But you need to understand the question that what is it demanding.