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

被引：59
|
作者：
Mohammed, W. W. [1 ,3 ]
Albosaily, S. [1 ]
Iqbal, N. [1 ]
El-Morshedy, M. [2 ,3 ]
机构：
[1] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia
[2] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj, Saudi Arabia
[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2021年
关键词：
Solitary wave solutions; stochastic Burgers' equation; multiplicative noise; exp(-phi)-expansion method; AMPLITUDE EQUATION; WAVE SOLUTIONS; TIME BEHAVIOR; TURBULENCE; EXPANSION; SPDES; MODEL;
D O I：
10.1080/17455030.2021.1905914
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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(-phi(mu))-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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页数：13
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