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Invertible Coupled KdV and Coupled Harry Dym Hierarchies
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Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, The Institute of Technology.
2013 (English)In: Studies in applied mathematics (Cambridge), ISSN 0022-2526, E-ISSN 1467-9590, Vol. 131, no 3, 211-228 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we discuss the conditions under which the coupled KdV and coupled Harry Dym hierarchies possess inverse (negative) parts. We further investigate the structure of nonlocal parts of tensor invariants of these hierarchies, in particular, the nonlocal terms of vector fields, conserved one-forms, recursion operators, Poisson and symplectic operators. We show that the invertible coupled KdV hierarchies possess Poisson structures that are at most weakly nonlocal while coupled Harry Dym hierarchies have Poisson structures with nonlocalities of the third order.

Place, publisher, year, edition, pages
Wiley-Blackwell , 2013. Vol. 131, no 3, 211-228 p.
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-100912DOI: 10.1111/sapm.12008ISI: 000325346500001OAI: diva2:664339

Funding Agencies|Swedish Research Council|2011-52|

Available from: 2013-11-14 Created: 2013-11-14 Last updated: 2013-11-14

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Marciniak, Krzysztof
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Communications and Transport SystemsThe Institute of Technology
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