Tri-Hamiltonian duality system of coupling Merola-Ragnisco-Tu equation
Applying the tri-Hamiltonian method to the coupled Merola-Ragnisco-Tu equation,a new discrete integral system is obtained,and its linear spectral problem,bi-Hamiltonian structure,and Darboux-Bäklund transformation are solved.Furthermore,using the Darboux-Bäklund transformation,the exact solution of the dual system can be sought.
linear spectral problembi-Hamiltonian structureDarboux-Bäklund transformationexact solution
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