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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2022 Volume 15, Issue 2, Pages 17–26 (Mi vyuru636)

This article is cited in 4 papers

Mathematical Modeling

Exact solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar model via IBSEFM

Kh. R. Mamedova, U. Demirbilekb, V. Alab

a Igdir University, Igdir, Turkey
b Mersin University, Mersin, Turkey

Abstract: The aim of this study is to construct the exact solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar (KMN) equation via Improved Bernoulli Sub-Equation Function Method (IBSEFM). The physics of this model describes optical dromions in (2+1)-dimensional case. It is also studied in fluid dynamics. Applying the proposed method, we obtain new exact solutions of (2+1)-dimensional KMN equation. Moreover, we plot the 2D-3D figures and contour surfaces according to the suitable parameters by the aid of computer software. The results confirm that IBSEFM is powerful, effective and straightforward for solving nonlinear partial differential equations arising in mathematical physics.

Keywords: IBSEFM, Kundu–Mukherjee–Naskar equation, exact solutions.

UDC: 517.984.54

MSC: 35C08, 34K20, 32W50

Received: 28.09.2021

Language: English

DOI: 10.14529/mmp220202



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