Articles with "kairat equation" as a keyword



Exploring the nonlinear behavior of solitary wave structure to the integrable Kairat-X equation

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Published in 2024 at "AIP Advances"

DOI: 10.1063/5.0240720

Abstract: This study presented various types of soliton solutions for the nonlinear integrable Kairat-X equation by utilizing the improved F-expansion technique with symbolic computational software Mathematica. Explored results for the nonlinear integrable Kairat-X equation are interesting,… read more here.

Keywords: integrable kairat; structure; optics; soliton solutions ... See more keywords

The sensitivity demonstration and propagation of hyper-geometric soliton waves in plasma physics of Kairat-II equation

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Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad2bc2

Abstract: This study investigates the Kairat-II equation, describing optical pulse behavior in optical fibers and plasma. To uncover new solitary wave profiles, the study employs an extended direct algebraic method. This kind of solution has never… read more here.

Keywords: soliton; solutions mixed; kairat equation; hyper geometric ... See more keywords

Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation

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Published in 2025 at "PLOS ONE"

DOI: 10.1371/journal.pone.0314849

Abstract: This work considers a stochastic form of an extended version of the Kairat-II equation by adding Browning motion into the deterministic equation. Two analytical approaches are utilized to derive analytical solutions of the modified equation.… read more here.

Keywords: equation; kairat equation; form solutions; brownian motion ... See more keywords