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The relation between a 2D lotka-volterra equation and a 2D toda lattice

Journal of Nonlinear Mathematical Physics (2005) 12(SUPPL. 2) 169-179
DOI: 10.2991/jnmp.2005.12.s2.12
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Abstract

It is shown that the 2-discrete dimensional Lotka-Volterra lattice, the two dimensional Toda lattice equation and the recent 2-discrete dimensional Toda lattice equation of Santini et al can be obtained from a 2-discrete 2-continuous dimensional Lotka-Volterra lattice.

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Gilson, C. R., & Nimmo, J. J. C. (2005). The relation between a 2D lotka-volterra equation and a 2D toda lattice. In Journal of Nonlinear Mathematical Physics (Vol. 12, pp. 169–179). https://doi.org/10.2991/jnmp.2005.12.s2.12

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