№4 (47), 2018. INFORMATION TECHNOLOGY, COMPUTER SCIENCE AND CONTROL

Loznov D.V. Uvarova L.A.

Numerical simulation of the modified Korteweg-de Vries equation with regard to stochastic processes

This research considers the influence of molecular processes on the formation of waves in liquids. The basis is a modified nonlinear Korteweg-de Vries equation, which takes into account particles evaporating from the surface of the wave. A brief description of the mathematical model describing this process is given as well as the results of numerical experiments. To assess the influence of molecular processes on the formation of waves, the results of the calculations were compared with the KdV equation without modifications.

Keywords: stochastic processes, mathematical modeling, the Korteweg-de Vries equation.

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