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

W. W. Mohammed; S. Albosaily; N. Iqbal; M. El-Morshedy

doi:10.1080/17455030.2021.1905914

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

W. W. Mohammed
, S. Albosaily
, N. Iqbal
, M. El-Morshedy

Mathematics

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

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 (Formula presented.) -expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.

Original language	English
Pages (from-to)	274-286
Number of pages	13
Journal	Waves in Random and Complex Media
Volume	34
Issue number	1
DOIs	https://doi.org/10.1080/17455030.2021.1905914
State	Published - 2024

Keywords

35A20
35Q51
60H10
60H15
83C15
Solitary wave solutions
exp⁡(−φ)-expansion method
multiplicative noise
stochastic Burgers' equation

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10.1080/17455030.2021.1905914

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abstract = "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 (Formula presented.) -expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.",

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AU - Albosaily, S.

AU - Iqbal, N.

AU - El-Morshedy, M.

PY - 2024

Y1 - 2024

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AB - 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 (Formula presented.) -expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.

KW - 35A20

KW - 35Q51

KW - 60H10

KW - 60H15

KW - 83C15

KW - Solitary wave solutions

KW - exp⁡(−φ)-expansion method

KW - multiplicative noise

KW - stochastic Burgers' equation

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VL - 34

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EP - 286

JO - Waves in Random and Complex Media

JF - Waves in Random and Complex Media

IS - 1

ER -

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

Abstract

Keywords

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