The phrase "to break the waves" means to overcome obstacles or challenges with determination and strength, just like waves crashing against the shore. It implies pushing through difficulties and not giving up. Full definition
Relax and fall asleep to the soothing sounds of breaking waves as you breathe in the fresh tropical air. (luxuryretreats.com)
There are beach break waves on the beach with the right conditions. (surfing-waves.com)
One of his research findings was that the turbulent flow structures caused by breaking waves pick up more sand than had previously been assumed. (sciencedaily.com)