Article

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

Bazar BabajanovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench, 220100, UzbekistanFakhriddin AbdikarimovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench, 220100, Uzbekistan

Results in Applied Mathematicsjournal2025en

ABI

Abstract

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.

Topics

Nonlinear Waves and Solitons Nonlinear Photonic Systems Numerical methods in engineering

Identifiers

DOI: 10.1016/j.rinam.2025.100586

Citations and references

Cited by 1 48 references

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