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http://hdl.handle.net/11452/34262| Title: | On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method |
| Authors: | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-1364-5137 Özkan, Yeşim Sağlam Yaşar, Emrullah G-5333-2017 AAG-9947-2021 57193338830 23471031300 |
| Keywords: | 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 |
| Issue Date: | 31-Jan-2020 |
| Publisher: | Indian Acad Sciences |
| Citation: | 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). |
| Abstract: | 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 |
| Appears in Collections: | Scopus Web of Science |
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