The problem of porting programs from one hardware platform to another has not ceased to be less relevant and simpler with time. The purpose of our work is to identify the key features of algorithms in porting codes for calculating of essentially nonlinear processes to a modern cluster of hybrid architecture that includes both CPUs (Intel Xeon) and GPU (NVIDIA TESLA) processors. As a test problem for studying the process of porting a code to a cluster of hybrid architecture, the KPI equation of Kadomtsev-Petviashvili was chosen, written in integro-differential form [1], [2].