On exact solutions of Wick-type stochastic extended KdV equation


Alaloush M., Taşkesen H.

5th International Conference on Computational Mathematics and Engineering Sciences, Van, Turkey, 8 - 10 June 2021, pp.108

  • Publication Type: Conference Paper / Summary Text
  • City: Van
  • Country: Turkey
  • Page Numbers: pp.108

Abstract

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