{"title":"Exact Solutions of the (2+1)-Dimensional Kundu-Mukherjee-Naskar Model via IBSEFM","authors":"K. Mamedov, U. Demirbilek, V. Ala","doi":"10.14529/mmp220202","DOIUrl":null,"url":null,"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.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":"36 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14529/mmp220202","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.
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