Application of the improved tan(?(?)/2)-expansion method for solving date-Jimbo-Kashiwara-Miwa equation

Karaağaç, Berat

doi:10.20852/ntmsci.2019.345

Cited by 6 publications

(1 citation statement)

References 8 publications

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“…Their approach relied on the Hirota bilinear and the long-wave methods. To obtain innovative exact solutions encompassing trigonometric, hyperbolic, exponential and rational functions, Karaagac (2019) used the enhanced tan( ϕ ( ξ )/2)-expansion approach, rooted in an auxiliary equation and a traveling wave transformation. Adem et al (2019) harnessed the extended transformed rational function approach to generate complexiton solutions for the DJKM equation, using the Hirota bilinear form.…”

Section: Introductionmentioning

confidence: 99%

An alternate approach for optical solutions to the Date–Jimbo–Kashiwara–Miwa equation

Khuri

2023

HFF

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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.

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Section: Introductionmentioning

confidence: 99%