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A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy
Published online by Cambridge University Press: 17 February 2009
Abstract
A hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Bäcklund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.
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- Research Article
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- Copyright © Australian Mathematical Society 2002
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