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The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system
Journal article   Peer reviewed

The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

W.W. Mohammed and M. El-Morshedy
Mathematics and computers in simulation, Vol.190, pp.192-202
12/2021
DOI: https://doi.org/10.1016/j.matcom.2021.05.022

Abstract

Multiplicative noise sine–cosine method Stochastic Nizhnik–Novikov–Veselov system tanh–coth method
In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the Itô sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the stochastic Nizhnik–Novikov–Veselov system

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