
TL;DR
This paper applies inverse spectral methods to solve the periodic Volterra chain, introducing a generalized Lagrange interpolation formula for integration.
Contribution
It presents a novel application of inverse spectral theory to the periodic Volterra chain and generalizes the Lagrange interpolation formula.
Findings
Successfully integrates the periodic Volterra chain using spectral methods
Generalizes the Lagrange interpolation formula for this context
Provides a new approach to solving integrable systems
Abstract
In this paper, the inverse spectral problem is applied to the integration of a periodic Volterra chain. A generalization of the Lagrange interpolation formula has been made.
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