Please help me solve this practice. Use Python to code.

Practice #12: Shallow water equations g Study one-dimensional gravity waves. Gravity waves can be described by the shallow-water equation au an at ax an au -H at ax Write a program solving the equations with the leafrog scheme on an unstaggered grid. Set H=g=1. Ax=0.025, CFL-number=0.9 (=c. At/Ax where c=(gH)1/2) Initialize the leapfrog scheme with a single Euler forward step Initial conditions: + cos [107(x 0.5)), for 0.4