# Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

## Abstract

In this study, we establish the integration of the negative order loaded modified Korteweg-de Vries equation using the inverse scattering transform method. The main result is included in deriving the evolution equations for scattering data of the Dirac operator which is associated with the considered problem. Moreover, it was described the process of the construction of one-soliton solution of the negative order loaded modified Korteweg-de Vries equation.

## First Page

40

## Last Page

49

## References

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## Recommended Citation

Agarwal, Praveen; Abdullaev, Bakhrom; Baltaeva, Iroda; and Atanazarova, Shoira
(2023)
"On the negative order loaded modified Korteweg–de Vries equation,"
*Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences*: Vol. 6:
Iss.
1, Article 4.

DOI: https://doi.org/10.56017/2181-1318.1238