The Dbar-dressing method for the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

被引：3
|
作者：
Sun, Shifei [1 ]
Li, Biao [1 ]
机构：
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2024年 / 76卷 / 01期
关键词：
(2+1)-dimensional DJKM equation; inverse spectral problem; Green's function; characteristic function; partial derivative-dressing method; RIEMANN-HILBERT PROBLEM; KUNDU-ECKHAUS EQUATION; LONG-TIME ASYMPTOTICS; SYSTEM;
D O I：
10.1088/1572-9494/ad1324
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is studied by means of the partial derivative-dressing method. A new partial derivative problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation. Based on solving the partial derivative equation and choosing the proper spectral transformation, the solution of the DJKM equation is constructed. Furthermore, the more general solution of the DJKM equation can be also obtained by ensuring the evolution of the time spectral data.
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页数：7
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