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

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

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In this work,the(2+1)-dimensional Date-Jimbo-Kashiwara-Miwa(DJKM)equation is studied by means of the(∂)-dressing method.A new(∂)problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation.Based on solving the(∂)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.

(2+1)-dimensional DJKM equationinverse spectral problemGreen's functioncharacteristic function(∂)-dressing method

Shifei Sun、Biao Li

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School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China

国家自然科学基金国家自然科学基金K C Wong Magna Fund in Ningbo University

12 175 11111 975 131

2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(1)
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