Two integrable generalizations of WKI and FL equations:Positive and negative flows, and conservation laws

• 来源期刊: 中国物理B（英文版）
• 关键词: integrable generalizations positive flow and negative flow infinite conservation laws
• 年，卷（期）: 2020,（5）
• 页码范围: 79-83
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab7e9d

摘要

With the aid of Lenard recursion equations, an integrable hierarchy of nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is proposed, in which the first nontrivial member in the positive flows can be reduced to a new generalization of the Wadati-Konno-Ichikawa (WKI) equation. Further, a new generalization of the Fokas-Lenells (FL) equation is derived from the negative flows. Resorting to these two Lax pairs and Riccati-type equations, the infinite conservation laws of these two corresponding equations are obtained.