Solution of stochastic Allen-Cahn equation in the framework of soliton theoretical approach

被引：11

作者：

Iqbal, Muhammad S. ^{[1
]}

Seadawy, Aly R. ^{[2
]}

Baber, Muhammad Z. ^{[3
]}

Yasin, Muhammad W. ^{[3
,4
]}

Ahmed, Nauman ^{[3
]}

机构：

[1] NUST, Dept Humanities & Basic Sci, Mil Coll Signals, Islamabad, Pakistan

[2] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah 41411, Saudi Arabia

[3] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[4] Univ Narowal, Dept Math, Narowal, Pakistan

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2023年 / 37卷 / 06期

关键词：

Analytical solutions; stochastic Allen-Cahn equation; extended fan-sub method; SCHEME;

D O I：

10.1142/S0217979223500510

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, the Allen-Cahn equation with time noise is under consideration. The extended fan-sub technique is used to find the exact solutions. The solutions are successfully extracted in the form of hyperbolic, trigonometric and mixed forms of solitons. Importantly, the physical unique value problems of the solutions are discussed using the different values of parameters. The 2D, 3D, and their corresponding contour behaviors of these solutions are depicted by choosing the different values of parameters. The stability is controlled through the Borel coefficient in the noise term.

引用

页数：23

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