Application of the Christov's functions for an analysis of stochastic partial differential equations in a unbounded region

This paper presents a methodology and a computer algorithm for application of a system of the Christov's functions, which are orthonormal on the whole real axis and closed under operations of multiplication and differentiation, for an analysis of stochastic partial differential equations in a unbounded region on the example of the family of Kordeveg^de Vries equations. We demonstrate results of calculations of stochastic characteristics for solution of one equation from the family. These results were obtained in the environment of Mathematica package.