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INTEGRATION OF THE NEGATIVE ORDER MODIFIED KORTEWEG–DE VRIES EQUATION WITH A LOADED TERM IN THE CLASS OF PERIODIC FUNCTIONS

G. U. UrazboevKhorezm Branch of V.I. Romanovski Institute of Mathematics of Uzbekistan Academy of ScienceM. M. KhasanovUrgench State UniversityO. B. Ismoilov

Дифференциальные уравненияjournal2024en

ABI

Annotatsiya

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.

Mavzular

Numerical methods for differential equations Differential Equations and Numerical Methods Electromagnetic Scattering and Analysis

Identifikatorlar

DOI: 10.31857/s0374064124120094

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