Research Information System
5th International Conference on Computational Mathematics and Engineering Sciences, Van, Turkey, 8 - 10 June 2021, pp.108, (Summary Text)
In recent years, a lot of attention has been given to the study of SPDEs with Lévy noise,
without Gaussian component. Biorthogonal decomposition plays the role of the main tool of
white noise theory which is an expansion of the Winner-Ito chaos. The white noise analysis
approach to quantum physics was originally applied to a wide range of other applications.
In this paper, the method of F-expansion with the aid of Hermit transformation are used
to find a series of exact elliptic function solutions to the nonlinear KdV extended Wick-type
stochastic equation with a random term of Levy white noise type. By means of these methods
and with the help of Maple we get solitary wave solutions and determined for KdV extended
Wick-type stochastic equation. 2D, 3D, and contour graphs have been drawn by giving
special values to the constants in the solutions via computer software. Moreover, by
considering different random values to the noise, the effect of the noise on the wave-forms
has been exhibited. The obtained results have been discussed in detail