Linear superposition of Wronskian rational solutions to the KdV equation

被引：1
|
作者：
Wen-Xiu Ma
机构：
[1] School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus
[2] Department of Mathematics, Zhejiang Normal University
[3] Department of Mathematics and Statistics, University of South Florida
[4] Department of Mathematics, King Abdulaziz University
来源：
CommunicationsinTheoreticalPhysics | 2021年 / 73卷 / 06期
关键词：
soliton equation; Wronskian solution; rational solution; rogue wave; the KdV equation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
A linear superposition is studied for Wronskian rational solutions to the Kd V 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 Kd V equation. It is also conjectured that there is no other rational solutions among general linear superpositions of Wronskian rational solutions.
引用
收藏
页码：5 / 9
页数：5
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