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Comparative analysis of classical and stochastic Maccari system of nonlinear equations

تحليل مقارن لنظام ماكاري الكلاسيكي والعشوائي للمعادلات غير الخطية
Authors: Muhammad Sajid Iqbal; Mustafa İnç; Saba Sohail; Adil Raheem; Shabbir Hussain; Emad E. Mahmoud;

Comparative analysis of classical and stochastic Maccari system of nonlinear equations

Abstract

In this paper, the exact solutions of classical and stochastic Maccari system is constructed. The exact comparative solutions are examined and plotted. Interesting results in the case of multiplicative noise are formulated and graphically elaborated. The applications of the stochastic Maccari system are added for the physical purpose. The existence of results for the real part of underlying system are discussed first time for a priori estimates. The perturbations, which disturbed the formation of Langmuir waves, are geometrically expressed in this article. Due to the presence of multiplicative noise term, our system brings a real flavor to the dynamics of the problem.

Keywords

QA299.6-433, Classical solutions to PDEs, Physics, Applied mathematics, A priori estimates in context of PDEs, Computer science, Quantum mechanics, stochastic partial differential equation, Dynamical Systems, Langmuir soliton, MEDA method, KdV equations (Korteweg-de Vries equations), Stochastic partial differential equations (aspects of stochastic analysis), Soliton solutions, Dynamical Systems and Chaos Theory, Physical Sciences, FOS: Mathematics, Nonlinear system, PDEs with randomness, stochastic partial differential equations, Analysis, Mathematical Physics, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold