Linear superposition of Wronskian rational solutions to the KdV equation

• 作者: Wen-Xiu Ma
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 1-5
• 页数: 5页
• 语种: 英文

摘要

A linear superposition is studied for Wronskian rational solutions to the KdV equation,which include rogue wave solutions.It is proved that it is equivalent to a polynomial identity that an arbitrary linear combination of two Wronskian polynomial solutions with a difference two between the Wronskian orders is again a solution to the bilinear KdV equation.It is also conjectured that there is no other rational solutions among general linear superpositions of Wronskian rational solutions.