Influence of External Source on KPI Equation

The analysis of external sources influence on 2D waves evolution is carried out with special attention to the possibility of exponential growing. We have proposed master equation, that is the generalization of Kadomtsev-Petviashvili-I Equation (KPI), that shows major part of the problems in ocean waves evolution and at the same time most difficult from the point of view of numerical algorithm stability. Some indications for choosing of correct numerical procedures are given. This analysis is especially relevant in connection with the emergence of new hybrid computing architectures, the porting of applications on which strongly depends on the chosen algorithm.