On Complex-Valued Solutions of the General Loaded Korteweg-de Vries Equation with a Source

被引：4
|
作者：
Khasanov, A. B. [1 ]
Hoitmetov, U. A. [2 ,3 ]
机构：
[1] Samarkand State Univ, Samarkand 140104, Uzbekistan
[2] Uzbek Acad Sci, Romanovskii Inst Math, Khwarazm Branch, Urgench, Uzbekistan
[3] Urgench State Univ, Urgench 220100, Uzbekistan
来源：
DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 03期
关键词：
INTEGRATION;
D O I：
10.1134/S0012266122030089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the inverse scattering method, we derive the evolution of the scattering data of a nonself-adjoint Sturm-Liouville operator whose potential is a solution of the general loaded Korteweg-de Vries equation with a self-consistent source in the class of rapidly decaying complex-valued functions. An example is given to illustrate the application of the results obtained.
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页码：381 / 391
页数：11
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