Article

Exploring solutions for the negative-order modified Korteweg–de Vries equation with a self-consistent source corresponding to moving eigenvalues

G. U. UrazboevKhorezm Branch of the Romanovsky Institute of Mathematics, Uzbekistan Academy of Sciences, Urgench, UzbekistanI. I. BaltaevaUrgench State University, Urgench, UzbekistanSh. E. AtanazarovaKhorezm Branch of the Romanovsky Institute of Mathematics, Uzbekistan Academy of Sciences, Urgench, Uzbekistan

Theoretical and Mathematical Physicsjournal2025en

ABI

Abstract

We focus on investigating the negative-order modified Korteweg–de Vries equation with a special source. Based on the inverse scattering transform method, we derive the temporal dependency of scattering data for the Dirac operator with moving eigenvalues. We derive the multisoliton solution to considered problem using matrix triplet method and illustrate the wave behavior of solutions in both presence and absence of a source.

Topics

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

Identifiers

DOI: 10.1134/s0040577925110029

Citations and references

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