A modified KdV model of waves with evaporation from the phase surface

In this paper we consider the impact of evaporation on formation of a gravitational wave in a potential approximation and study the condition of its existence in the form of a soliton. We study a nonlinear modified KdV equation, which takes into account the impact of a molecular mechanism (evaporation) at the dividing boundary "wave front - environment" on wave propagation. A nonlinear analysis is given. It is shown that, in general, modification of the KdV equation by introducing an additional stochastic term determined by a certain physical or physico-chemical process gives rise to solutions that are not Jacobi functions. © 2016 Begell House, Inc.