Constructing (2+1)-dimensional N =1 supersymmetric integrable systems from the Hirota formalism in the superspace

• 来源期刊: 中国物理B（英文版）
• 关键词: formal series symmetry approach generalized symmetry supersymmetric NKP system super-symmetric MKdV system
• 年，卷（期）: 2018,（4）
• 页码范围: 144-153
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/4/040203

摘要

The N =1 supersymmetric extensions of two integrable systems, a special negative Kadomtsev–Petviashvili (NKP) system and a (2+1)-dimensional modified Korteweg–de Vries (MKdV) system, are constructed from the Hirota formalism in the superspace. The integrability of both systems in the sense of possessing infinitely many generalized symmetries are confirmed by extending the formal series symmetry approach to the supersymmetric framework. It is found that both systems admit a generalization of W∞type algebra and a Kac-Moody–Virasoro type subalgebra. Interestingly, the first one of the positive flow of the supersymmetric NKP system is another N =1 supersymmetric extension of the (2+1)-dimensional MKdV system. Based on our work, a hypothesis is put forward on a series of (2+1)-dimensional supersymmetric integrable systems. It is hoped that our work may develop a straightforward way to obtain supersymmetric integrable systems in high dimensions.