Elsevier

Applied Mathematics Letters

Volume 85, November 2018, Pages 139-149
Applied Mathematics Letters

On soliton solutions of the relativistic Lotka–Volterra hierarchy

https://doi.org/10.1016/j.aml.2018.05.021Get rights and content
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Abstract

Without solving the equations, we show that soliton solutions of the relativistic Lotka–Volterra hierarchy can be derived from those of the Lotka–Volterra hierarchy. The proof is based on the reductions of a discrete spectral problem.

Keywords

Integrable lattice
Zero-curvature equation
Soliton solutions
The relativistic Lotka–Volterra hierarchy

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