Integration of mKdV Equation with a Self-Consistent Source in the Class of Finite Density Functions in the Case of Moving Eigenvalues
K. A. MamedovUrgench branch of Tashkent University of Information Technologies named after Muhammad al-Kwarizmi, 110 al-Kwarizmi str., 220100, Urgench, Republic of Uzbekistan
ABI
Abstract
In this paper, we prove the possibility of using the inverse scattering problem method for integrating an mKdV equation with a self-consistent source in the class of finite density functions in the case when the corresponding spectral problem has moving simple eigenvalues.