Статья

On the Differential-Difference Sine-Gordon Equation with an Integral Type Source

Bazar Babajanov* Urgench State UNiversity, Faculty of Physics and Mathematics , 14, H. Alimjan , Urgench , UZBEKISTANMičhal Fĕckan** Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava , Mlynská dolina , Bratislava , SLOVAKIAA. K. Babadjanova*** V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences , 81, str. Mirzo Ulughbek , Tashkent , UZBEKISTAN

Mathematica Slovacajournal2023en

ABI

Аннотация

ABSTRACT In this work, we study the integration of the differential-difference sine-Gordon equation with an integral type source. We deduce the time performance of the scattering data of the spectral problem which is associated with the discrete sine-Gordon equation. Using the inverse scattering method, we integrate the Cauchy problem for the differential-difference sine-Gordon equation with the integral type source in the class of the rapidly decreasing functions.

Темы

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Nonlinear Photonic Systems

Идентификаторы

DOI: 10.1515/ms-2023-0108

Цитирования и источники

Цитирований: 2 Использованных источников: 27

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