Towards a theory of differential constraints of a hydrodynamic hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Published by JNMP at http://www.sm.luth.se/math/JNMP/

Scientific paper

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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