26 citations · 53 across the 7 of their papers we have counts for
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nlin.SI2023
A quadric ansatz method for a certain class of second order PDEs
Prim Plansangkate
We develop a procedure to implement the method of quadric ansatz to a class of second order partial differential equations (PDEs), which includes the four-dimensional Kähler-Einste…
nlin.SI2021★ 22 cited
The quadric ansatz for the -dispersionless KP equation, and supersymmetric Einstein-Weyl spaces
Maciej Dunajski, Prim Plansangkate
We consider two multi-dimensional generalisations of the dispersionless Kadomtsev-Petviashvili (dKP) equation, both allowing for arbitrary dimensionality, and non-linearity. For on…
nlin.SI2019
From the conformal self-duality equations to the Manakov-Santini system
Prim Plansangkate
Under two separate symmetry assumptions, we demonstrate explicitly how the equations governing a general anti-self-dual conformal structure in four dimensions can be reduced to the…