Abstract—Enlargement of Lie super algebra B(0,1) was given firstly. Then nonlinear super integrable couplings of the super C-KdV hierarchy based upon this enlarged matrix Lie super algebra were constructed secondly. And its super Hamiltonian structures were established by using super trace identity thirdly. As its reduction, special integrable couplings of the C-KdV hierarchy were obtained finally.
Index Terms—Lie super algebra, super integrable couplings, super C-KdV hierarchy, super Hamiltonian structures.
S. X. Tao is with School of Mathematics and Information Science, Shangqiu Normal University, Henan, Shangqiu 476000, China (e-mail: taosixing@163.com).
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Cite:Si-Xing Tao, "Nonlinear Super Integrable Couplings of Super C-KdV Hierarchy," International Journal of Modeling and Optimization vol. 3, no. 4, pp. 369-372, 2013.