@Article{JNMA-4-615,
author = {Gaillard , Pierre},
title = {Rational Solutions to the KdV Equation in Terms of Particular Polynomials},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {4},
number = {4},
pages = {615--627},
abstract = {<p style="text-align: justify;">Here, we construct rational solutions to the KdV equation by particular polynomials. We get the solutions in terms of determinants of the order $n$ for any positive integer $n,$ and we call these solutions, solutions of the order $n.$ Therefore, we obtain a very efficient method to get rational solutions to
the KdV equation, and we can construct explicit solutions very easily. In the
following, we present some solutions until order 10.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.615},
url = {http://global-sci.org/intro/article_detail/jnma/21901.html}
}