- #1

- 398

- 88

- Homework Statement
- ##(\partial_t^2-\partial_z^2) h(t,z)=A \cos (k(t-z))##

- Relevant Equations
- None

If the right-hand side is zero, then it will be a wave equation, which can be easily solved. The right-hand side term looks like a forced-oscillation term. However, I only know how to solve a forced oscillation system in one dimension. I do not know how to tackle it in two dimensions.

I have tried to generalize it into two dimensions by solving it pretending ##h## depends only on ##t## and ##z## separately, but I have no clues on how to carry on.

I have tried it in Mathematica. It gives no results.

Thanks ahead.

I have tried to generalize it into two dimensions by solving it pretending ##h## depends only on ##t## and ##z## separately, but I have no clues on how to carry on.

I have tried it in Mathematica. It gives no results.

Thanks ahead.