反散射法积分负阶Korteweg-de Vries方程

IF 0.6 Q3 MATHEMATICS

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki Pub Date : 2023-09-01 DOI:10.35634/vm230309

G.U. Urazboev, I.I. Baltaeva, O.B. Ismoilov

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引用次数: 0

摘要

本文考虑用逆散射法对负阶Korteweg-de Vries方程进行积分。确定了具有负阶Korteweg-de Vries方程解相关势的Sturm-Liouville算符谱数据的演化。所得结果为应用逆散射问题的方法求解速降函数类的负阶Korteweg-de Vries方程提供了可能。

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 negative order Korteweg-de Vries equation by the inverse scattering method

In this paper, we consider the integration of the negative order Korteweg-de Vries equation by the inverse scattering method. The evolution of the spectral data of the Sturm-Liouville operator with a potential associated with the solution of the negative order Korteweg-de Vries equation is determined. The obtained results make it possible to apply the method of inverse scattering problem to solve the negative order Korteweg-de Vries equation in the class of rapidly decreasing functions.

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来源期刊

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki MATHEMATICS-

CiteScore

1.20

自引率

40.00%

发文量