Scattering theory for the loaded negative order Korteweg–de Vries equation
G. U. UrazboevUrgench State University; V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic
of Uzbekistan (Khorezm Branch)Iroda Ismailovna BaltaevaUrgench State UniversityOxunjon Bakhrom ugli Ismailov
ABI
Abstract
In this paper, we consider the loaded negative order Korteweg–de Vries equation. The evolution of the spectral data of the Sturm–Liouville operator with a potential associated with the solution of the loaded negative order Korteweg–de Vries equation is determined. The obtained results make it possible to apply the inverse problem method to solve the loadednegative order Korteweg–de Vries equation in the class of rapidly decreasing functions. An example of the given problem is given with graphs of the solution.
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