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Başlık: On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method
Yazarlar: Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-1364-5137
Özkan, Yeşim Sağlam
Yaşar, Emrullah
G-5333-2017
AAG-9947-2021
57193338830
23471031300
Anahtar kelimeler: Improved tan(phi/2)-expansion method
(2+1)-dimensional Nizhnik-Novikov-Veselov system
Generalised hirota-satsuma coupled KdV equation
Traveling-wave solutions
Coupled KDV equation
Expansion method
(G'/G)-Expansion method
Coherent structures
Peridoic-solutions
Soliton-solutions
MKDV
Physics
Differential equations
Hyperbolic functions
Rational functions
02.30.Jr
04.20.Jb
Exact solution
Expansion methods
Kink solution
Modulation instabilities
Nonlinear evolution equation
Nonlinear equations
Yayın Tarihi: 31-Oca-2020
Yayıncı: Indian Acad Sciences
Atıf: Özkan,Y. S. ve Yaşar, E. (2020). "On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method". Pramana - Journal of Physics, 94(1).
Özet: In this paper, the improved tan (φ/ 2)-expansion method (ITEM) is proposed to obtain more general exact solutions of the nonlinear evolution equations (NLEEs). This method is applied to the generalised Hirota–Satsuma coupled KdV (HScKdV) equation and (2 + 1)-dimensional Nizhnik–Novikov–Veselov (NNV) system. We have obtained four types of solutions of these equations such as hyperbolic, trigonometric, exponential and rational functions as an advantage of this method. These solutions include solitons, rational, periodic and kink solutions. Moreover, modulation instability is used to establish stability of the obtained solutions.
URI: https://doi.org/10.1007/s12043-019-1883-3
https://link.springer.com/content/pdf/10.1007/s12043-019-1883-3.pdf
http://hdl.handle.net/11452/34262
ISSN: 0973-7111
03044289
Koleksiyonlarda Görünür:Scopus
Web of Science

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