Wronskian Representation of the Solutions to the KdV Equation

Gaillard, Pierre (2024) Wronskian Representation of the Solutions to the KdV Equation. Journal of Applied Physical Science International, 16 (2). pp. 1-11. ISSN 2395-5279

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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.

Item Type: Article
Subjects: STM Open Library > Physics and Astronomy
Depositing User: Unnamed user with email support@stmopenlibrary.com
Date Deposited: 03 Jul 2024 13:08
Last Modified: 03 Jul 2024 13:08
URI: http://ebooks.netkumar1.in/id/eprint/2229

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