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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。
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.
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.