On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise

Tahira Sumbal Shaikh, Muhammad Zafarullah Baber, Nauman Ahmed (), Naveed Shahid, Ali Akgül () and Manuel De la Sen
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Tahira Sumbal Shaikh: Department of Mathematics, Lahore College for Women University, Lahore 54000, Pakistan
Muhammad Zafarullah Baber: Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
Nauman Ahmed: Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
Naveed Shahid: Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
Ali Akgül: Department of Computer Science and Mathematics, Lebanese American University, Beirut P.O. Box 13-5053, Lebanon
Manuel De la Sen: Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, 48940 Leioa, Spain

Mathematics, 2023, vol. 11, issue 6, 1-21

Abstract: In this study, we consider the stochastic Konno–Oono system to investigate the soliton solutions under the multiplicative sense. The multiplicative noise is considered firstly in the Stratonovich sense and secondly in the It o ^ sense. Applications of the Konno–Oono system include current-fed strings interacting with an external magnetic field. The F-expansion method is used to find the different types of soliton solutions in the form of dark, singular, complex dark, combo, solitary, periodic, mixed periodic, and rational functions. These solutions are applicable in the magnetic field when we study it at the micro level. Additionally, the absolute, real, and imaginary physical representations in three dimensions and the corresponding contour plots of some solutions are drawn in the sense of noise by the different choices of parameters.

Keywords: stochastic Konno–Oono system; soliton solutions; Stratonovich sense; It ô sense; F-expansion method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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