1 citations · 1 across the 4 of their papers we have counts for
4 papers
Multidimensional parabolic equations with a logarithmic nonlinearity admitting exceptional Lie symmetries
Roman Cherniha, John R. King
Nonlinear reaction-diffusion equations arise in a very wide range of applications. Here we address a specific multidimensional class in which the source term is non-autonomous in t…
Smoothing of the higher-order Stokes phenomenon
Chris J. Howls, John R. King, Gergő Nemes +1
For nearly a century and a half the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989 Berry demonstrated how it…
Conservation laws that depend on functions and PDE reduction: extending Noether
Peter E. Hydon, John R. King
This paper develops methods for simplifying systems of partial differential equations that have families of conservation laws which depend on functions of the independent or depend…
Solutions with snaking singularities for the fast diffusion equation
M. Fila, J. R. King, J. Takahashi +1
We construct solutions of the fast diffusion equation, which exist for all and are singular on the set , , where $ξ\in…