Articles with "kashiwara miwa" as a keyword



Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation

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Published in 2021 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2021.1897112

Abstract: In this work, the Date–Jimbo–Kashiwara–Miwa (DJKM) equation include time-dependent in -dimensions that characterize the propagation of nonlinear dispersive waves in inhomogeneous media is studied. We construct rational solutions and the interaction physical phenomena between rational… read more here.

Keywords: time; kashiwara miwa; jimbo kashiwara; equation ... See more keywords

New algorithm for deriving rational form solutions in the generalized Date-Jimbo-Kashiwara-Miwa model

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Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad7a29

Abstract: This paper introduces, for the first time, the application of rational form solutions involving sine-cosine and sinh-cosh functions to address a nonlinear model emerging in the realm of plasma physics. The model under consideration is… read more here.

Keywords: rational form; kashiwara miwa; form solutions; jimbo kashiwara ... See more keywords
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Analytical solutions and molecule states of the (3+1)-dimensional variable coecient Date-Jimbo-Kashiwara-Miwa equation

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Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad96ee

Abstract: In the article, the (3+1)-dimensional variable coefficient Date-Jimbo-Kashiwara-Miwa (vcDJKM) equation is researched systematically. The Hirota bilinear method is utilized to construct N-soliton solutions and by imposing appropriate condition, the resonant Y-type solitons and the mixed… read more here.

Keywords: dimensional variable; jimbo kashiwara; kashiwara miwa; date jimbo ... See more keywords

A NEW PERSPECTIVE ON THE NONLINEAR DATE–JIMBO–KASHIWARA–MIWA EQUATION IN FRACTAL MEDIA

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Published in 2024 at "Fractals"

DOI: 10.1142/s0218348x2450066x

Abstract: In this paper, we first created a fractal Date–Jimbo–Kashiwara–Miwa (FDJKM) long ripple wave model in a non-smooth boundary or microgravity space recorded. Using fractal semi-inverse skill (FSIS) and fractal traveling wave transformation (FTWT), the fractal… read more here.

Keywords: jimbo kashiwara; kashiwara miwa; date jimbo;