The authors perform an original research on the fundamentals of winning virtuous strategies creation toward the leveraged buyout transactions implementation during the private equity investment in the conditions of the resonant absorption of discrete information in the diffusion - type financial system with the induced nonlinearities in particular, and at the influences by the Schumpeterian creative disruption processes in the free market economy in general. Going from the academic literature, we make a comprehensive review on the various aspects of modern financial engineering approaches to make the private equity investments and design the leveraged buyout and venture capital firms, funds and transactions in the finances. We highlight a p...