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Soliton theory and modulation instability analysis: The Ivancevic option pricing model in economy     
Yazarlar
Chen Qiliang
Hacı Mehmet Başkonuş
Harran Üniversitesi, Türkiye
Wei Gao
 Esin İLHAN Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this projected paper, we study on the Ivancevic option pricing model. We apply two important methods, namely, rational sine-Gordon expansion method which is recently developed, and secondly, modified exponential method. Via these methods, we obtain some important properties of Ivancevic option pricing model. We extract many solutions such as complex, periodic, dark bright, mixed dark-bright, singular, travelling and hyperbolic functions. We investigate the option price wave functions of dependent variable, and also, observe the modulation instability analysis in detail. Furthermore, we report the strain conditions for the valid solutions under the family conditions, as well. We simulate the 2D, 3D and counter plots by choosing the suitable values of the parameters involved. Finally, we present the top and low points of pricing in the mentioned intervals via contour simulations. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
Anahtar Kelimeler
The Ivancevic option pricing model | RSGEM | MEFM | Modulation instability analysis | Complex | Mixed dark-bright | Hyperbolic functions
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ALEXANDRIA ENGINEERING JOURNAL
Dergi ISSN 1110-0168
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 10-2022
Cilt No 61
Sayı 10
Sayfalar 7843 / 7851
Doi Numarası 10.1016/j.aej.2022.01.029