On the Dynamical Behavior of Solitary Waves for Coupled Stochastic Korteweg-De Vries Equations

被引：13

作者：

Mohammed, Wael W. ^{[1
,2
]}

Al-Askar, Farah M. ^{[3
]}

Cesarano, Clemente ^{[4
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[4] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II, I-00186 Rome, Italy

来源：

MATHEMATICS | 2023年 / 11卷 / 16期

关键词：

stochastic coupled KdV; mapping method; optical solitons; multiplicative noise;

D O I：

10.3390/math11163506

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we take into account the coupled stochastic Korteweg-De Vries (CSKdV) equations in the Ito sense. Using the mapping method, new trigonometric, rational, hyperbolic, and elliptic stochastic solutions are obtained. These obtained solutions can be applied to the analysis of a wide variety of crucial physical phenomena because the coupled KdV equations have important applications in various fields of physics and engineering. Also, it is used in the design of optical fiber communication systems, which transmit information using soliton-like waves. The dynamic performance of the various obtained solutions are depicted using 3D and 2D curves in order to interpret the effects of multiplicative noise. We conclude that multiplicative noise influences the behavior of the solutions of CSKdV equations and stabilizes them.

引用

页数：17