5 citations · 9 across the 2 of their papers we have counts for
3 papers
nlin.SI2021
Integrable systems of the intermediate long wave type in 2+1 dimensions
B. Gormley, E. V. Ferapontov, V. S. Novikov +1
We classify 2+1 dimensional integrable systems with nonlocality of the intermediate long wave type. Links to the 2+1 dimensional waterbag system are established. Dimensional reduct…
math.DG2020★ 5 cited
Second-order PDEs in 4D with half-flat conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
We study second-order PDEs in 4D for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solutio…
nlin.SI2017★ 4 cited
Integrability of dispersionless Hirota type equations in 4D and the symplectic Monge-Ampere property
E. V. Ferapontov, B. Kruglikov, V. Novikov
We prove that integrability of a dispersionless Hirota type equation implies the symplectic Monge-Ampere property in any dimension . In 4D this yields a complete classifica…