Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation

Details Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation

2003-03-30

arxiv.org/abs/nlin/0303068v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 6 figures, to be published in Chaos, Solitons & Fractals

Scientific paper

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.

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