[HTML][HTML] On some exact solutions of heavenly equations in four dimensions

ŁT Stȩpień - AIP Advances, 2020 - pubs.aip.org
Some new classes of exact solutions (so-called functionally invariant solutions) of the elliptic
and hyperbolic complex Monge–Ampère equations and of the second heavenly equation …

Nonlocal symmetries of Plebański's second heavenly equation

A Lelito, OI Morozov - Journal of nonlinear mathematical physics, 2018 - Springer
We study nonlocal symmetries of Plebański's second heavenly equation in an infinite-
dimensional covering associated to a Lax pair with a non-removable spectral parameter. We …

Reduction of non-variational bi-Hamiltonian system of shallow-water waves propagation via symmetry approach

A Jhangeer - Journal of Mathematical Sciences and Modelling, 2018 - dergipark.org.tr
In this paper, non-variational bi-Hamiltonian system of shallow-water waves propagation is
considered. Lie point generators are calculated and one dimensional optimal system of its …

[引用][C] (2+ 1)-dimensional bi-Hamiltonian system obtained from symmetry reduction of (3+ 1)-dimensional Hirota type equation

D Yazıcı - AIP Conference Proceedings, 2019 - AIP Publishing LLC