Physics Letters A | 2021
Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation
Abstract
Abstract The tri-Hamiltonian method is applied to the Merola-Ragnisco-Tu equation. This enables us to construct a new integrable system, whose continuum limit is related to the AKNS system. Moreover, the system is proved to have linear spectral problems (Lax pair), bi-Hamiltonian structure and Darboux-Backlund transformation. Through the Darboux-Backlund transformation, we construct some exact solutions for the system.