Recursion formulae for IKK system with two hierarchies |
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Institution: | 1. Department of Physics, College of Science and Technology, Nihon University, Tokyo 101-8308, Japan;2. Toyama University, Toyama, Japan;3. Atomic Energy Research Institute, Nihon University, Tokyo 101-8308, Japan |
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Abstract: | In a previous paper an inverse system with two hierarchies for a given symmetry was proposed. The scheme was found to have so constructive structure that relation between members of the hierarchies was systematically determined. In this Letter, with the proposed system we find simply and directly recursion formulae for two hierarchies for the su(2) algebra, i.e., the localized induction hierarchy and the hierarchy with the dispersionless equation. We show that, as a special case, the recursion formulae reduce to those of the modified Korteweg–de Vries hierarchy and the sine–Gordon hierarchy. |
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