Integration of a sine-Gordon type equation with an additional term in the class of periodic infinite-gap functions-Reference-Cited by-同舟云学术

Integration of a sine-Gordon type equation with an additional term in the class of periodic infinite-gap functions

Published:2024-04-09 Issue:3 Volume: Page:70-83
ISSN:2076-4626
Container-title:Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
language:
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Author:

Khasanov A. B.¹,Normurodov Kh. N.¹

Affiliation:

1. Samarkand State University

Abstract

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 system of Dubrovin equations and the first trace formula satisfies sine-Gordon-type equations with an additional term.

Publisher

Kazan Federal University

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