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On the negative order loaded modified Korteweg–de Vries equation

Praveen AgarwalAnand International College of Engineering, IndiaBakhrom AbdullaevUrgench State University, Urgench, UzbekistanIroda Ismailovna BaltaevaUrgench State University, Urgench, UzbekistanShoira AtanazarovaUrgench State University, Urgench, Uzbekistan; Khorezm regional branch of V.I. Romanovski Institute of Mathematics, Urgench, Uzbekistan
2023en
ABI

Annotatsiya

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.

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