Modelling of Nonlinear Wave Phenomena on the Surface of Shallow Water

The problems of simulation of nonlinear wave phenomena on the surface of the shallow water. The method of successive approximations obtained solutions of nonlinear equations in two approximations. With the proposed graphoanalytical way to describe the transformation of the profile of surface gravity waves on stage cusp ridges, steepening of the leading front. The influence of the spectral components in the process of transformation of the wave profile, describes the causes of asymmetries. Based on the analytical expressions considered dispersion effects on the transformation of the profile of the waves. Presents spatial and three-dimensional models of propagation and nonlinear refraction of surface gravitational waves in the various coastal formations. For researchers and specialists in the field of wave hydrodynamics simulations.