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Kuramoto, Y. and Tsuzuki, T. (1975) On the Formation of Dissipative Structures in Reaction-Diffusion Systems. Progress of Theoretical Physics, 54, 687-699.
https://doi.org/10.1143/PTP.54.687

has been cited by the following article:

• 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.