Kajian Teoritis terhadap Persamaan Gelombang Nonlinier

Abstract

This paper presents derivation of a nonlinear wave equation with different procedure. In which, wave amplitude, momentum Euler's equation and hydrodynamic pressure of Bernoulli are fully used and no linearization. The resulted potential and dispersion equation become equations of linier wave theory when small amplitude inserted to the equations. Velocity potential equation gives breaking phenomena that the same as Miche's breaking criteria. Wave length resulted from the dispersion equation shorter than wave length resulted by linear wave theory. Existences of wave amplitude in dispersion equation make wave length shorter. Larger wave amplitude shorter wave length. Keywords : Linear wave theory : Wave theory derived for very small wave amplitude. Nonlinear wave theory : Wave theory derived for large wave amplitude.