Characterization of rational solutions of a KdV-like equation

Brian D. Vasquez Campos

doi:10.1016/j.matcom.2022.05.022

Characterization of rational solutions of a KdV-like equation

Brian D. Vasquez Campos

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular class of polynomials satisfying a quadratic difference equation to obtain that there are no solutions of the bilinear equation with degree (in the spatial variable) greater than 5. As a byproduct, we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these solutions.

Original language	British English
Pages (from-to)	396-416
Number of pages	21
Journal	Mathematics and Computers in Simulation
Volume	201
DOIs	https://doi.org/10.1016/j.matcom.2022.05.022
State	Published - Nov 2022

Keywords

Generalized bilinear equation
KdV equation
Rational solution

Access to Document

10.1016/j.matcom.2022.05.022

Cite this

@article{48c3bf8d120c446e93914369385bc367,

title = "Characterization of rational solutions of a KdV-like equation",

abstract = "We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular class of polynomials satisfying a quadratic difference equation to obtain that there are no solutions of the bilinear equation with degree (in the spatial variable) greater than 5. As a byproduct, we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these solutions.",

keywords = "Generalized bilinear equation, KdV equation, Rational solution",

author = "{Vasquez Campos}, {Brian D.}",

note = "Funding Information: The author acknowledge the financial support provided by Khalifa University, UAE under the Grant FSU 2020-9 . Publisher Copyright: {\textcopyright} 2022 The Author",

year = "2022",

month = nov,

doi = "10.1016/j.matcom.2022.05.022",

language = "British English",

volume = "201",

pages = "396--416",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Characterization of rational solutions of a KdV-like equation

AU - Vasquez Campos, Brian D.

PY - 2022/11

Y1 - 2022/11

N2 - We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular class of polynomials satisfying a quadratic difference equation to obtain that there are no solutions of the bilinear equation with degree (in the spatial variable) greater than 5. As a byproduct, we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these solutions.

AB - We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular class of polynomials satisfying a quadratic difference equation to obtain that there are no solutions of the bilinear equation with degree (in the spatial variable) greater than 5. As a byproduct, we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these solutions.

KW - Generalized bilinear equation

KW - KdV equation

KW - Rational solution

UR - http://www.scopus.com/inward/record.url?scp=85131364916&partnerID=8YFLogxK

U2 - 10.1016/j.matcom.2022.05.022

DO - 10.1016/j.matcom.2022.05.022

M3 - Article

AN - SCOPUS:85131364916

SN - 0378-4754

VL - 201

SP - 396

EP - 416

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

Characterization of rational solutions of a KdV-like equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this