Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
A. B. YakhshimuratovUrgench State University, Urgench, UzbekistanМ. М. ХасановUrgench State University, Urgench, Uzbekistan
ABI
Abstract
The inverse spectral problem method is applied to the integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions. We obtain assertions on the analyticity and the period of the solution with respect to the space variable.