Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense

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Abstract

In this article, the stochastic Hirota–Maccari system forced in the Itô sense by multiplicative noise is considered. We just use the He’s semi-inverse method, sine–cosine method, and Riccati–Bernoulli sub-ODE method to get new stochastic solutions which are hyperbolic, trigonometric, and rational. The major benefit of these three approaches is that they can be used to solve similar models. Furthermore, we plot 3D surfaces of analytical solutions obtained in this article by using MATLAB to illustrate the effect of multiplicative noise on the exact solution of the Hirota–Maccari method.

Original languageEnglish
Pages (from-to)74-84
Number of pages11
JournalJournal of Low Frequency Noise Vibration and Active Control
Volume41
Issue number1
DOIs
StatePublished - Mar 2022

Keywords

  • He’s semi-inverse method
  • multiplicative noise
  • sine–cosine method
  • Stochastic Hirota–Maccari system

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