Application of Asymptotic Solutions for the Computation of the Piston Model of Tsunami

Conditions are derived under which asymptotic solutions of the Cauchy problem for the wave equation can be applied to the computation of a piston model of tsunami in a basin of constant depth. The derivation is carried out for the initial displacement of the bottom in the form of Gaussian exponentials by comparing the results of numerical integration with computations using asymptotic formulas.