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AIMS Mathematics
Article . 2025 . Peer-reviewed
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AIMS Mathematics
Article . 2025
Data sources: DOAJ
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The analysis of the traveling wave solutions of the Hirota-Ramani equation via the modified Kudryashov method

Authors: Aslı Alkan; Mehmet Kayalar; Hasan Bulut;

The analysis of the traveling wave solutions of the Hirota-Ramani equation via the modified Kudryashov method

Abstract

In this paper, the modified Kudryashov method is utilized to construct the exact traveling solutions to the Hirota­-Ramani equation. The Hirota-Ramani equation holds significant importance as a fundamental model in the examination of nonlinear and integrable systems. It offers valuable theoretical insights and practical applications across multiple domains of physics and applied mathematics. The modified Kudryashov method was utilized to acquire the novel solutions of the Hirota-Ramani equation. Consequently, numerous analytical exact solutions have been derived, including rational, trigonometric, and hyperbolic function solutions. This method is potent, effective, and serves as an option for developing new solutions to many sorts of fractional differential equations utilized in mathematical physics.

Keywords

traveling wave solution, QA1-939, kudryashov method, the hirota-ramani equation, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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