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INTEGRABLE COUPLING OF THE TC HIERARCHY OF EQUATIONS
作者姓名:郭福奎  张玉峰
作者单位:School of Information Science and Engineering,Shandong University of Science and Technology,Taian 271019,School of Information Science and Engineering,Shandong University of Science and Technology,Taian 271019 Institute of Computational Mathematics and Scientific Engineering Computing,Academia Sinica,Beijing 100080
摘    要:A new loop algebra and a new Lax pair are constructed, respectively. It follows that the integrable coupling of the TC hierarchy of equations, which is also an expanding integrable model, is obtained. Specially, the integrable coupling of the famous KdV equation is presented.

关 键 词:可积分  耦合  圈代数  层次模型

INTEGRABLE COUPLING OF THE TC HIERARCHY OF EQUATIONS
Guo Fukui Zhang.INTEGRABLE COUPLING OF THE TC HIERARCHY OF EQUATIONS[J].微分方程年刊(英文版),2004,20(3):243-247.
Authors:Guo Fukui Zhang
Institution:[1]SchoolofInformationScienceandEngineering,ShandongUniversityofScienceandTechnology,Taian271019 [2]InstituteofComputationalMathematicsandScientificEngineeringComputing,AcademiaSinica,Beijing100080
Abstract:A new loop algebra and a new Lax pair are constructed, respectively. It follows that the integrable coupling of the TC hierarchy of equations, which is also an expanding integrable model, is obtained. Specially, the integrable coupling of the famous KdV equation is presented.
Keywords:integrable coupling  loop algebra  TC hierarchy
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