TITLE:
Numerical Simulation of Stochastic Kuramoto-Sivashinsky Equation
AUTHORS:
Ping Gao, Chengjian Cai, Xiaoyi Liu
KEYWORDS:
Random Kuramoto-Sivashinsky Equation, Difference Scheme, White Noise, Wiener Process
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.11,
November
26,
2018
ABSTRACT: In this paper, the random Kuramoto-Sivashinsky
equation with additive noise is studied numerically, using the finite
difference method to simulate the effect of different amplitude of noise on the
solitary wave. And numerical experiments show that the white noise does not
affect the propagation of the solitary wave, but can increase the amplitude of
the solitary wave.