2023-10-092023-10-092020-01-31Özkan,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).0973-711103044289https://doi.org/10.1007/s12043-019-1883-3https://link.springer.com/content/pdf/10.1007/s12043-019-1883-3.pdfhttp://hdl.handle.net/11452/34262In 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.eninfo:eu-repo/semantics/closedAccessImproved tan(phi/2)-expansion method(2+1)-dimensional Nizhnik-Novikov-Veselov systemGeneralised hirota-satsuma coupled KdV equationTraveling-wave solutionsCoupled KDV equationExpansion method(G'/G)-Expansion methodCoherent structuresPeridoic-solutionsSoliton-solutionsMKDVPhysicsDifferential equationsHyperbolic functionsRational functions02.30.Jr04.20.JbExact solutionExpansion methodsKink solutionModulation instabilitiesNonlinear evolution equationNonlinear equationsArticle0005180352000012-s2.0-85078843807941Physics, multidisciplinaryExact solution; Optical solitons; (G'G)-expansion method