Linear superposition of Wronskian rational solutions to the KdV equation

作     者：Wen-Xiu Ma Wen-Xiu Ma

作者机构：Department of MathematicsZhejiang Normal UniversityJinhua 321004ZhejiangChina Department of MathematicsKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics and StatisticsUniversity of South FloridaTampaFL 33620-5700United States of America School of Mathematical and Statistical SciencesNorth-West UniversityMafikeng CampusPrivate Bag X2046Mmabatho 2735South Africa 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第6期

页      面：1-5页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported in part by NSFC under the Grant Nos.11975145 and 11972291 

主　　题：soliton equation Wronskian solution rational solution rogue wave the KdV equation 

摘      要：A linear superposition is studied for Wronskian rational solutions to the Kd V equation,which include rogue wave *** 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 *** is also conjectured that there is no other rational solutions among general linear superpositions of Wronskian rational solutions.