On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method
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Date
2020-01-31
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Indian Acad Sciences
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.
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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
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).