耦合MRT方程的三哈密顿对偶系统

Tri-Hamiltonian duality system of coupling Merola-Ragnisco-Tu equation

本文将三哈密顿方法应用于耦合Merola-Ragnisco-Tu方程,获得了新的离散可积系统,并求出了它的线性谱问题、双哈密顿结构以及Darboux-Backlund变换.进一步,利用DarbouxBacklund变换求出了对偶系统的精确解.

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.