Integration of negative-order modified Korteweg-de Vries equation with an integral source

被引：0
|
作者：
Urazboev, Gayrat Urazalievich [1 ]
Khasanov, Muzaffar Masharipovich [1 ]
Ismoilov, Okhunjon Bahram Ugli [2 ]
机构：
[1] Urgench State Univ, Dept Appl Math & Math Phys, Ul Kh Alimdjan 14, Urgench 220100, Uzbekistan
[2] Acad Sci Uzbek, VI Romanovskiy Inst Math, Khorezm Branch, Dept Differential Equat, Ul Kh Alimdjan 14, Urgench 220100, Uzbekistan
来源：
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA | 2024年 / 63卷
关键词：
modified Korteweg-de Vries equation of negative order; Dirac system; inverse spectral problem; Dubrovin-Trubowitz system of equations; trace formulas; SELF-CONSISTENT SOURCE; MULTIPLE SOLITON; SCHRODINGER; KDV;
D O I：
10.35634/2226-3594-2024-63-06
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is shown that the modified Korteweg-de Vries (mKdV) equation of negative order with an integral source can be integrated by the method of the inverse spectral problem. The main result of this work is the derivation of the evolution of the spectral data of the Dirac system with a periodic potential associated with the solution of the negative-order modified Korteweg-de Vries equation with an integral source. The obtained results allow us to apply the inverse problem method to solve the negative-order modified Korteweg-de Vries equation with an integral source.
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页码：80 / 90
页数：11
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