Korteweg de-Vries Equation -- Weakly Nonlinear Wave Packets and the Nonlinear Schrödinger Equation -- Wave Interactions -- Wave-mean interaction theory -- Wave Turbulence with Applications to Atmospheric and Oceanic Waves -- Nonlinear Amplitude Equations and Soliton Excitations in Bose-Einstein Condensates.Although nonlinear waves occur in nearly all branches of physics and engi neering, the…