N = 2 a = 1 超对称 KdV 方程及其达尔布-贝克伦变换

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Communications in Theoretical Physics Pub Date : 2024-09-04 DOI:10.1088/1572-9494/ad6a04

XiaoXia Yang, Lingling Xue, Q P Liu

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引用次数: 0

摘要

本文研究 N = 2 a = 1 超对称 KdV 方程。我们构建了它的达布变换和相关的贝克伦德变换。此外，我们还推导了一个非线性叠加公式，作为应用，我们计算了这个超对称KdV方程的一些解，并恢复了Kersten-Krasil'shchik耦合KdV-mKdV系统的相关结果。

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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N = 2 a = 1 supersymmetric KdV equation and its Darboux–Bäcklund transformations

In this paper, we study the N = 2 a = 1 supersymmetric KdV equation. We construct its Darboux transformation and the associated Bäcklund transformation. Furthermore, we derive a nonlinear superposition formula, and as applications we calculate some solutions for this supersymmetric KdV equation and recover the related results for the Kersten–Krasil’shchik coupled KdV-mKdV system.

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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.