On initial conditions for a numerical simulation of a solitary wave
It has been shown, by means of a numerical experiment, what kind of initial conditions should be used to better simulate, with high accuracy, а solitary wave on the surface of an incompressible inviscid fluid. It is shown that the wave speed and the stretching parameter of the wave profile are better to be determined using the known exact relations. A modification of formulas for calculation the coefficients of the wave profile expansion upon the basis functions is proposed which further increases the accuracy of the numerical simulation of a solitary wave.