Towards a theory of differential constraints of a hydrodynamic hierarchy
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2003
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Atlantis Press
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Abstract
We present a theory of compatible differential constraints of a hydrodynamic hierarchy of infinite-dimensional systems. It provides a convenient point of view for studying and formulating integrability properties and it reveals some hidden structures of the theory of integrable systems. Illustrative examples and new integrable models are exhibited.
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©Atlantis Press.
A B Shabat wish to thank A Ibort for his support during his stay as a visiting professor of the Carlos III University of Madrid. He also acknowledges the group of the Department of Theoretical Physics II of the Complutense University for their warm hospitality. L Martínez Alonso was partially supported by the DGCYT project BFM2002- 01607. A Shabat was partially supported by the RFFI project 01-01-00874 and Sc. Schools RF grant 06- 15-96093. Both authors are grateful to E Ferapontov for several useful and stimulating discussions.