TL;DR
This paper extends Toda-like integrable lattice systems to non-symmetric cases and demonstrates that these generalized systems maintain a bi-Hamiltonian structure, contributing to the understanding of their mathematical properties.
Contribution
The work introduces a generalization of Toda-like systems to non-symmetric cases and proves their bi-Hamiltonian structure, a novel theoretical advancement.
Findings
Generalization of Toda-like systems to non-symmetric cases
Proof of bi-Hamiltonian structure in generalized systems
Enhanced understanding of integrable lattice systems
Abstract
We generalize Toda--like integrable lattice systems to non--symmetric case. We show that they possess the bi--Hamiltonian structure.
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