Published June 1, 2021 | Version v1
Journal article Metadata-only

Linear superposition of Wronskian rational solutions to the KdV equation

Creators

  • 1. School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735 (South Africa)
  • 2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, United States of America (United States)
  • 3. Department of Mathematics, King Abdulaziz University, Jeddah 21589 (Saudi Arabia)
  • 4. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang (China)

Description

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. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1572-9494/abeb5f

Additional details

Identifiers

DOI
10.1088/1572-9494/abeb5f;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
73
Journal Issue
6
Journal Page Range
[5 p.]
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53094971
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; KORTEWEG-DE VRIES EQUATION; POLYNOMIALS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS