Integrability of auto-B?cklund transformations and solutions of a torqued ABS equation

• 作者: Xueli Wei Peter H van der Kamp Da-jun Zhang
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（7）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 42-46
• 页数: 5页
• 语种: 英文

摘要

An auto-B?cklund transformation for the quad equation Q11 is considered as a discrete equation,called H2a,which is a so called torqued version of H2.The equations H2a and Q1l compose a consistent cube,from which an auto-B?cklund transformation and a Lax pair for H2a are obtained.More generally it is shown that auto-B?cklund transformations admit auto-B?cklund transformations.Using the auto-B?cklund transformation for H2a we derive a seed solution and a one-soliton solution.From this solution it is seen that H2a is a semi-autonomous lattice equation,as the spacing parameter q depends on m but it disappears from the plane wave factor.