26 citations · 53 across the 7 of their papers we have counts for
8 papers
Conserved quantities of distinguished curves on conformal sphere
Prim Plansangkate, Lenka Zalabová
We give conserved quantities of two generalizations of conformal circles on the conformal sphere. One generalization concerns curves carrying a distinguished parallel tractor along…
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…
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…
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…
Skyrme fields, multi-instantons and the -Toda equation
Prim Plansangkate
We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in Our family of Skyrme fields…
Compactified Twistor Fibration and Topology of Ward Unitons
Prim Plansangkate
We use the compactified twistor correspondence for the (2+1)-dimensional integrable chiral model to prove a conjecture of Ward. In particular, we construct the correspondence space…
Scalar--flat Kähler metrics with conformal Bianchi V symmetry
Maciej Dunajski, Prim Plansangkate
We provide an affirmative answer to a question posed by Tod \cite{Tod:1995b}, and construct all four-dimensional Kahler metrics with vanishing scalar curvature which are invariant…
Topology and Energy of Time Dependent Unitons
Maciej Dunajski, Prim Plansangkate
We consider a class of time dependent finite energy multi-soliton solutions of the U(N) integrable chiral model in dimensions. The corresponding extended solutions of the a…