The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation

In this paper, we consider the stochastic Burgers' equation, which is forced by multiplicative noise in the Stratonovich sense. To get a new trigonometric and hyperbolic stochastic solutions, we apply $ \exp (-\varphi (\mu )) $ exp ⁡ ( − φ ( μ ) ) -expansion method. In addition, we demonstrate...

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Bibliographic Details
Published inWaves in random and complex media Vol. 34; no. 1; pp. 274 - 286
Main Authors Mohammed, W. W., Albosaily, S., Iqbal, N., El-Morshedy, M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2024
Taylor & Francis Ltd
Subjects
Burgers equation
Exact solutions
exp
exp (-\varphi )
expansion method
Graphical representations
Mathematical analysis
multiplicative noise
Solitary wave solutions
stochastic Burgers' equation
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Summary:In this paper, we consider the stochastic Burgers' equation, which is forced by multiplicative noise in the Stratonovich sense. To get a new trigonometric and hyperbolic stochastic solutions, we apply $ \exp (-\varphi (\mu )) $ exp ⁡ ( − φ ( μ ) ) -expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.
ISSN:1745-5030
1745-5049
DOI:10.1080/17455030.2021.1905914