Integration of the Negative Order Modified Korteweg–de Vries Equation With a Loaded Term in the Class of Periodic Functions
Year: 2024
Type: article
Abstract: Spectral data of the Dirac operator with periodic potential are found. This operator is associated with the negative order modified Korteweg–de Vries equation with a loaded term. The obtained results make it possible to construct a solution to the negative order modified Korteweg–de Vries equation with a loaded term in the class of periodic functions using the inverse spectral problem method. The solvability of the Cauchy problem for an infinite system of Dubrovin–Trubovitz differential equations in the class of three times continuously differentiable periodic functions is proved.
Source: Дифференциальные уравнения
Authors: G. U. Urazboev, M. M. Khasanov, O. B. Ismoilov
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405878212