THE APPLICATION OF THE (partial derivative)over-bar-DRESSING METHOD TO THE (2+1)-DIMENSIONAL DATE-JIMBO-KASHIWARA-MIWA EQUATION

被引：3

作者：

Lu, Huanhuan ^{[1
]}

Zhang, Yufeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Nanhu 221116, Jiangsu, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 06期

基金：

中国国家自然科学基金;

关键词：

(2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation; (partial derivative)over-bar-dressing method; eigenfunctions; Green functions; NONLINEAR EVOLUTION-EQUATIONS; INVERSE SCATTERING TRANSFORM; DJKM EQUATION; LAX PAIR; CONSTRUCTION;

D O I：

10.1216/rmj.2021.51.2137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting from a Lax pair, we study the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation by means of the (partial derivative) over bar -dressing method, which can be employed to formulate scattering equations and to solve the inverse scattering problem. Based on that, the solutions of the DJKM equation can be further worked out.

引用

页码：2137 / 2145

页数：9

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