Integration of the fractional modified Korteweg de Vries-sine-Gordon equation by the inverse scattering method

In this paper we investigate the fractional modified Korteweg de Vries-sine-Gordon equation and show the inverse scattering transform method can also be used to obtain soliton solutions of fractional modified Korteweg de Vries-sine-Gordon equation. It is illustrated the relationship between the wave...

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Bibliographic Details
Main Authors: Bazar Babajanov, Fakhriddin Abdikarimov
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Results in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000500
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Summary:In this paper we investigate the fractional modified Korteweg de Vries-sine-Gordon equation and show the inverse scattering transform method can also be used to obtain soliton solutions of fractional modified Korteweg de Vries-sine-Gordon equation. It is illustrated the relationship between the wave velocity and the ϵ parameter for the fractional modified Korteweg de Vries-sine-Gordon equation in the case of one soliton solution, then this result was compared with fractional modified Korteweg de Vries equation, fractional sine-Gordon equation and the modified Korteweg de Vries-sine-Gordon equation.
ISSN:2590-0374