(2+1)- 维 DJKM 方程的 Dbar-dressing 方法

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2023-12-07 DOI:10.1088/1572-9494/ad1324

Shifei Sun, Biao Li

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引用次数: 0

摘要

本文采用Dbar-dressing法研究了(2+1)维Date-Jimbo-Kashiwara-Miwa (DJKM)方程。通过分析特征函数及其Lax表示的格林函数，构造了一个新的Dbar问题。在求解Dbar方程的基础上，选择合适的谱变换，构造DJKM方程的解。此外，在保证时间谱数据演化的前提下，还可以得到DJKM方程的更一般解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Dbar-dressing method for the (2+1)-dimensional DJKM equation

In this work, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is studied by means of Dbar-dressing method. A new Dbar problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation. Based on solving the Dbar equation and choosing the proper spectral transformation, the solution of DJKM equation is constructed. Furthermore, the more general solution of DJKM equation can be also obtained by ensuring the evolution of the time spectral data.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.