关于带有积分型源的微分-差分正弦-戈登方程

Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0108

B. Babajanov, Michal Fečkan, Aygul Babadjanova

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引用次数: 0

摘要

摘要在这项工作中，我们研究了带有积分型源的微分-差分正弦-戈登方程的积分问题。我们推导了与离散正弦-戈登方程相关的谱问题的散射数据的时间性能。利用反散射方法，我们对微分-差分正弦-戈登方程的 Cauchy 问题进行了积分型源的快速递减函数类积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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