Year: 2022
Author: Pierre Gaillard
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.615
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 615–627
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Polynomial Bilinear differential operator Rational solution.