Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-10-24
J. Nonlinear Math. Phys., volume 10, no. 2 (2003) 229-242
Nonlinear Sciences
Exactly Solvable and Integrable Systems
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.
Alonso Martinez L.
Shabat Alexey B.
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