Characterization of Rational Solutions of a KdV-Like Equation
Analysis of PDEs
2022-05-20 v2 Algebraic Geometry
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
Cite
@article{arxiv.2202.05466,
title = {Characterization of Rational Solutions of a KdV-Like Equation},
author = {Brian D. Vasquez},
journal= {arXiv preprint arXiv:2202.05466},
year = {2022}
}