@Article{JNMA-4-4, author = {Pierre, Gaillard}, title = {Rational Solutions to the KdV Equation in Terms of Particular Polynomials}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {4}, pages = {615--627}, abstract = {
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.615}, url = {https://global-sci.com/article/87942/rational-solutions-to-the-kdv-equation-in-terms-of-particular-polynomials} }