What is the application of progressive plane wave equation to the advancement of physics.?
If you are talking about linear plane progressive regular waves, then you just need to ask the nearest surfer. He/she will explain that the long-wavelength waves (usually generated by winds blowing across the water) that cross the ocean, change into short-wavelength waves and rise up to form the steep-faced waves that surfers love. Also, those waves are important for understanding how a coastline will erode, sand will migrate, floating boats and docks will move, and coastal flooding will occur due to storm surges (Please note, this list is probably incomplete). To answer your question, I cannot find any information that ocean waves led to advances in other areas of physics (although a friend’s phd thesis discussed solitons in water). However, I can say that an understanding of ocean waves probably serves as a solid foundation for further studies in physics. The second link below has an absolutely excellent discussion on the physics of waves. It does not answer your question, but deserv
