带积分型源的Harry Dym方程的积分

Pub Date : 2021-06-01 DOI:10.35634/vm210209

G. Urazboev, A. Babadjanova, D. R. Saparbaeva

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引用次数: 1

摘要

本文推导了具有积分型自洽源的Harry Dym非线性演化方程的光谱问题散射数据的演化过程。所得到的等式完全确定了任意$t$的散射数据，这使得应用逆散射问题的方法求解具有积分型源的Harry Dym方程的Cauchy问题成为可能。

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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Integration of the Harry Dym equation with an integral type source

In the work, we deduce the evolution of scattering data for a spectral problem associated with the nonlinear evolutionary equation of Harry Dym with a self-consistent source of integral type. The obtained equalities completely determine the scattering data for any $t$, which makes it possible to apply the method of the inverse scattering problem to solve the Cauchy problem for the Harry Dym equation with an integral type source.

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