an:01925836
Zbl 1055.35092
Mart??nez Alonso, L.; Shabat, A. B.
Towards a theory of differential constraints of a hydrodynamic hierarchy
EN
J. Nonlinear Math. Phys. 10, No. 2, 229-242 (2003).
00092534
2003
j
35Q35 37K10
hierarchies; infinite dimensional systems; integrable systems; differential constraints
The authors present a theory of compatible differential constraints of a hydrodynamic hierarchy of infinite dimensional systems. One of the main aims of the work is to show that the notion of differential constraint is useful in the theory of integrable systems. The authors consider differential constraints which are compatible with the whole hierarchy. Some new integrable models are presented.
Mariano Rodriguez Ricard (La Habana)