The Sic-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation

被引：8
|
作者：
Chai, Xuedong [1 ]
Zhang, Yufeng [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 134卷
基金：
中国国家自然科学基金;
关键词：
Sic-dressing method; Green's function; Eigenfunction; Konopelchenko-Dubrovsky equation; Inverse spectral problem; NONLINEAR EVOLUTION-EQUATIONS; INVERSE SCATTERING TRANSFORM; (PARTIAL-DERIVATIVE)OVER-BAR-DRESSING METHOD;
D O I：
10.1016/j.aml.2022.108378
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel systematical solution procedure of the (2+1)-dimensional Konopelchenko- Dubrovsky equation is employed on the basis of the partial differential over line -dressing method. The eigenfunctions and Green's function of the Lax pair play a fairly important role in constructing the scattering equation. By analyzing the analyticity of the eigenfunctions and Green's function, a new partial differential over line problem is introduced to help explore the solution with the help of Cauchy-Green formula and choosing the proper spectral transformation. Furthermore, we can work out the solution formally of the Konopelchenko-Dubrovsky equation from inverse spectral problem once the time evolution of the spectral data is determined. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：7
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