Rational solutions to a KdV-like equation

Yi Zhang and Wen-Xiu Ma

Applied Mathematics and Computation, 2015, vol. 256, issue C, 252-256

Abstract: Two classes of rational solutions to a KdV-like nonlinear differential equation are constructed. The basic object is a generalized bilinear differential equation based on a prime number p=3. A conjecture is made that the two presented classes of rational solutions contain all rations solutions to the considered KdV-like equation, which are generated from polynomial solutions to the corresponding generalized bilinear equation.

Keywords: Rational solution; Generalized bilinear equation; KdV equation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:252-256

DOI: 10.1016/j.amc.2015.01.027

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