208 citations · 994 across the 36 of their papers we have counts for
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nlin.SI2003★ 77 cited
Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability
E. V. Ferapontov, K. R. Khusnutdinova
A (d+1)-dimensional dispersionless PDE is said to be integrable if its n-component hydrodynamic reductions are locally parametrized by (d-1)n arbitrary functions of one variable. G…
nlin.SI2003★ 73 cited
The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type
E. V. Ferapontov, K. R. Khusnutdinova
We obtain the necessary and sufficient conditions for a two-component (2+1)-dimensional system of hydrodynamic type to possess infinitely many hydrodynamic reductions. These condit…
nlin.SI2003★ 208 cited
On integrability of (2+1)-dimensional quasilinear systems
E. V. Ferapontov, K. R. Khusnutdinova
A (2+1)-dimensional quasilinear system is said to be `integrable' if it can be decoupled in infinitely many ways into a pair of compatible n-component one-dimensional systems in Ri…