耦合MRT方程的三哈密顿对偶系统
Tri-Hamiltonian duality system of coupling Merola-Ragnisco-Tu equation
胡碧圆 1曹陈辰1
作者信息
- 1. 宁波大学数学与统计学院,浙江宁波 315211
- 折叠
摘要
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-Bäcklund变换.进一步,利用Darboux-Bäcklund变换求出了对偶系统的精确解.
Abstract
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.
关键词
线性谱问题/双哈密顿结构/Darboux-Bäcklund变换/精确解Key words
linear spectral problem/bi-Hamiltonian structure/Darboux-Bäklund transformation/exact solution引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据