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Integration of a Sine-Gordon Type Equation with an Additional Term in the Class of Periodic Infinite-Gap Functions

А. Б. ХасановAknazar Bekdurdiyevich Khasanov Samarkand State University, 140104, Samarkand, Republic of UzbekistanKh. N. NormurodovKhojimurod Normuminovich Normurodov Samarkand State University, 140104, Samarkand, Republic of Uzbekistan

Russian Mathematicsjournal2024en

ABI

Annotatsiya

In this paper, the inverse spectral problem method is used to integrate a nonlinear sine-Gordon type equation with an additional term in the class of periodic infinite-gap functions. The solvability of the Cauchy problem for an infinite system of Dubrovin differential equations in the class of three times continuously differentiable periodic infinite-gap functions is proved. It is shown that the sum of a uniformly convergent functional series constructed by solving the Dubrovin system of equations and the first trace formula satisfies a sine-Gordon type equation with an additional term.

Mavzular

Differential Equations and Numerical Methods Numerical methods for differential equations Nonlinear Waves and Solitons

Identifikatorlar

DOI: 10.3103/s1066369x24700191

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