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.

引用

页数：7

共 28 条

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