A polynomial conjecture connected with rogue waves in the KdV equation

A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian polynomial solutions with a difference two between the...

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Bibliographic Details
Main Author: Wen-Xiu Ma
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818121000036