DOI: 10.12732/ijam.v38i3.2
SOLVING THE NEGATIVE ORDER
KORTEWEG-DE VRIES EQUATION
WITH A SELF-CONSISTENT SOURCE
CORRESPONDING TO
MOVING EIGENVALUES
Gayrat Urazboev1, Iroda Baltaeva 1,§
1 Urgench State University, H. Alimdjan Str. 14 Urgench 220100, UZBEKISTAN
Abstract. This study focuses on addressing the negative order Korteweg–de Vries (KdV) equation with a self-consistent source associated with dynamic eigenvalues, using the inverse scattering transform (IST). The primary goal is to establish the evolution of the scattering data for the spectral problem linked to the negative-order Korteweg–de Vries equation with a self-consistent source and moving eigenvalues. The derived relationships fully describe the evolution of the scattering data, enabling the application of the IST technique to solve the given problem.
How
to cite this paper?
DOI: 10.12732/ijam.v38i3.2
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 3
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