LAX

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Difference discrete connection and curvature on cubic lattice被引量：2
《Science China Mathematics》2006年第11期1458-1476,共19页WU Ke, ZHAO Weizhong & GUO Hanying Department of Mathematics, Capital Normal University, Beijing 100037, China Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China 
Acknowledgements This work was partly supported by the National Key Basic Research Program of China(Grant No.2004CB318000);the National Natural Science Foundation of China(Grant No.10375087,10375038,90403018,90503002).
In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We dea...
关键词：DISCRETE connection  DISCRETE curvature  NONCOMMUTATIVE calculus  lattice gauge theory  DISCRETE LAX pair. 
A NEW HIERARCHY OF LAX AND LIOUVILLE INTEGRABLE EVOLUTION EQUATIONS ASSOCIATED WITH AN ISOSPECTRAL PROBLEM IN THE LOOP ALGEBRA■
《Journal of Systems Science & Complexity》2006年第3期301-306,共6页Zhenya YAN 
This work was supported by the National Natural Science Foundation of China(No.10401039);the National Key Basic Research Project of China(No. 2004CB318000)
In this paper, an isospectral problem with five potentials is investigated in loop algebra A2 such that a new hierarchy of evolution equations with five arbitrary functions is obtained. And then by fixing the five arb...
关键词：Isospectral problem loop algebra Lax integrable Liouville integrable Hamiltonian structure. 
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