ON THE NONLINEAR WAVES IN A DEVELOPING PROCESS PART 1. THE DERIVATION OF THE GOVERNING EQUATIONS

Until now most of the nonlinear wave theories are confined to expound the nonlinear properties relative to a stationary wave train and inclusive of three dimensional instabilities, bifurcation into a new steady solution, statistical properties of random wave field and so on. Under the wind blowing over the sea the atmosphere near the sea surface will continuously transmit energy into the sea waves due to the resonant and coupling mechanisms. Wind-generated waves are essentially a developing process associated with the rate of energy