Wronskian Representation of the Solutions to the KdV Equation
Pierre Gaillard *
Universite de Bourgogne Franche Comte, Dijon, France.
*Author to whom correspondence should be addressed.
Abstract
A method to construct solutions to the Korteweg-de-Vries (KdV) equation in terms of wronskians is given. For this, a particular type of polynomials is considered and we obtain for each positive integer n, rational solutions in terms of determinants of order n.
Explicit solutions can be easily constructed and rational solutions from order 1 until order 10 are given.
Keywords: Derivatives, polynomials, positive integer, rational solutions
How to Cite
Gaillard, P. (2024). Wronskian Representation of the Solutions to the KdV Equation. Journal of Applied Physical Science International, 16(2), 1–11. https://doi.org/10.56557/japsi/2024/v16i28756
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