An alternate approach for optical solutions to the Date–Jimbo–Kashiwara–Miwa equation
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 November 2023
Issue publication date: 22 November 2023
Abstract
Purpose
The aim of this study is to offer a contemporary approach for getting optical soliton and traveling wave solutions for the Date–Jimbo–Kashiwara–Miwa equation.
Design/methodology/approach
The approach is based on a recently constructed ansätze strategy. This method is an alternative to the Painleve test analysis, producing results similarly, but in a more practical, straightforward manner.
Findings
The approach proved the existence of both singular and optical soliton solutions. The method and its application show how much better and simpler this new strategy is than current ones. The most significant benefit is that it may be used to solve a wide range of partial differential equations that are encountered in practical applications.
Originality/value
The approach has been developed recently, and this is the first time that this method is applied successfully to extract soliton solutions to the Date–Jimbo–Kashiwara–Miwa equation.
Keywords
Acknowledgements
Conflict of interest: The corresponding author states that there is no conflict of interest.
Statements and declarations: Research was supported by the Regional Mathematical Center of the Southern Federal University with the support of the Ministry of Science and Higher Education of Russia, agreement No. 075–02–2023–924 dated 16.02.2023.
Data availability: Data sharing was not applicable to this article as no datasets were generated or analyzed during the current study.
Citation
Khuri, S. (2023), "An alternate approach for optical solutions to the Date–Jimbo–Kashiwara–Miwa equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 12, pp. 4128-4137. https://doi.org/10.1108/HFF-06-2023-0311
Publisher
:Emerald Publishing Limited
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