Article

Integration of negative-order modified Korteweg–de Vries equation with an integral source

G. U. UrazboevUrgench State UniversityМ М ХасановUrgench State UniversityO. B. IsmoilovV.I. Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Khorezm branch

2024en

ABI

Abstract

In this paper, it is shown that the modified Korteweg–de Vries (mKdV) equation of negative order with an integral source can be integrated by the method of the inverse spectral problem. The main result of this work is the derivation of the evolution of the spectral data of the Dirac system with a periodic potential associated with the solution of the negative-order modified Korteweg–de Vries equation with an integral source. The obtained results allow us to apply the inverse problem method to solve the negative-order modified Korteweg–de Vries equation with an integral source.

Topics

Nonlinear Waves and Solitons Quantum Mechanics and Non-Hermitian Physics Nonlinear Photonic Systems

Identifiers

DOI: 10.35634/2226-3594-2024-63-06

Citations and references

Cited by 2 19 references

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