Multi-parametric Rational Solutions to the KdV Equation
Asian Journal of Research and Reviews in Physics · pp. 14–21 · Published 12 Jun 2021
10.9734/ajr2p/2021/v4i330143Abstract
We construct multi-parametric rational solutions to the KdV equation. For this, we use solutions in terms of exponentials depending on several parameters and take a limit when one of these parameters goes to 0. Here we present degenerate rational solutions and give a result without the presence of a limit as a quotient of polynomials depending on 3N parameters. We give the explicit expressions of some of these rational solutions.
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