Geodesic
Exact solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar model via IBSEFM
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 15 (2022) no. 2, pp. 17-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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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: Kundu–Mukherjee–Naskar equation
Mots-clés : IBSEFM, exact solutions. 
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     title = {Exact solutions of the (2+1)-dimensional {Kundu{\textendash}Mukherjee{\textendash}Naskar} model via {IBSEFM}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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     year = {2022},
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Kh. R. Mamedov; U. Demirbilek; V. Ala. Exact solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar model via IBSEFM. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 15 (2022) no. 2, pp. 17-26. http://geodesic.mathdoc.fr/item/VYURU_2022_15_2_a1/

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