Rational Solutions of an Extended Lotka-Volterra Equation

X B Hu State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Sciences, Academia Sinica, P.O. Box 2719, Beijing, 100080, P.R. China E-mail: [email protected]

P A Clarkson Institute of Mathematics and Statistics, University of Kent at Canterbury, Canterbury, Kent, CT2 7NF, UK E-mail: [email protected]

Abstract

A series of rational solutions are presented for an extended Lotka-Volterra equation. These rational solutions are obtained by using Hirota’s bilinear formalism and Bäcklund transformation. The crucial step is the use of nonlinear superposition formula.

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Rational Solutions of an Extended Lotka-Volterra Equation

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