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The impact of multiplicative noise on the solution of the Chiral nonlinear Schrödinger equation
Physica Scripta ( IF 2.6 ) Pub Date : 2020-07-28 , DOI: 10.1088/1402-4896/aba3ac
Mahmoud A E Abdelrahman 1, 2 , Wael W Mohammed 2, 3
Affiliation  

In this paper, we consider the (1+1)-dimensional chiral nonlinear Schrödinger equation forced by multiplicative noise. We apply two different methods, namely the Riccati-Bernoulli method and He’s semi-inverse method to obtain new hyperbolic, trigonometric and rational stochastic exact solutions. Also, we show the effect of multiplicative noise on the exact solution of (1+1)-dimensional Chiral nonlinear Schrödinger equation. With the aid of Matlab release 15, some graphical representations were presented to illustrate the behavior of these solutions.

中文翻译:

乘性噪声对手性非线性Schrödinger方程解的影响

在本文中,我们考虑了乘性噪声强迫的(1 + 1)维手性非线性Schrödinger方程。我们应用两种不同的方法,即Riccati-Bernoulli方法和He's半逆方法,以获得新的双曲,三角和有理随机精确解。此外,我们显示了乘法噪声对(1 + 1)维手性非线性Schrödinger方程的精确解的影响。在Matlab版本15的帮助下,提供了一些图形表示形式来说明这些解决方案的行为。
更新日期:2020-07-29
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