Exact Solutions of the (2+1)-Dimensional Kundu-Mukherjee-Naskar Model via IBSEFM

IF 0.2 Q4 MATHEMATICS, APPLIED

Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software Pub Date : 2022-01-01 DOI:10.14529/mmp220202

K. Mamedov, U. Demirbilek, V. Ala

引用次数: 4

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.

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(2+1)维Kundu-Mukherjee-Naskar模型的IBSEFM精确解

本研究的目的是利用改进的伯努利子方程函数法(IBSEFM)构造(2+1)维Kundu-Mukherjee-Naskar (KMN)方程的精确解。该模型的物理性质描述了(2+1)维情况下的光学错觉。在流体动力学中也有研究。应用该方法，我们得到了(2+1)维KMN方程的新的精确解。在此基础上，利用计算机软件根据合适的参数绘制出二维-三维图形和等高线曲面。结果证实了IBSEFM对于求解数学物理中出现的非线性偏微分方程是强大、有效和简单的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

50.00%

发文量

期刊介绍： Series «Mathematical Modelling, Programming & Computer Software» of the South Ural State University Bulletin was created in 2008. Nowadays it is published four times a year. The basic goal of the editorial board as well as the editorial commission of series «Mathematical Modelling, Programming & Computer Software» is research promotion in the sphere of mathematical modelling in natural, engineering and economic science. Priority publication right is given to: -the results of high-quality research of mathematical models, revealing less obvious properties; -the results of computational research, containing designs of new computational algorithms relating to mathematical models; -program systems, designed for computational experiments.