Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
A bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg-de Vries equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions. The idea is used to generate positons, negatons and their interaction solutions to the Korteweg-de Vries equation. Moreover, general positons and negatons are constructed through the Wronskian formulation. A few new exact solutions to the KdV equation are explicitly presented as examples of Wronskian solutions.
Keywords
Cite
@article{arxiv.nlin/0303068,
title = {Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation},
author = {Wen-Xiu Ma},
journal= {arXiv preprint arXiv:nlin/0303068},
year = {2015}
}
Comments
11 pages, 6 figures, to be published in Chaos, Solitons & Fractals