摘要
由loop代数的一个子代数出发,建立一个新的等谱问题,利用屠格式导出了一类可积方程族,可约化为NLS-MKDV方程族.再利用迹恒等式建立其Hamilton结构,再进一步求出可积耦合系统.
Based on a sub -algebra of a new loop algebra, an isospectral problem is designed, and an integrable hierarchy equations which is reduced to the NLS - MKDV hierarchy of equations is worked out by using Tu scheme. Besides, the structure of its Hamilton is established by using trace identity, and integrable coupling system is found.
出处
《渤海大学学报(自然科学版)》
CAS
2012年第2期110-115,共6页
Journal of Bohai University:Natural Science Edition
基金
辽宁省教育厅科学研究(2010009)