27 citations · 82 across the 10 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2012★ 6 cited
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
Philip Broadbridge, Claudia M. Chanu, Willard Miller
Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to t…
math-ph2010
Lie Symmetries and Exact Solutions of the Generalized Thin Film Equation
Roman Cherniha, Phil Broadbridge, Liliia Myroniuk
A symmetry group classification for fourth-order reaction-diffusion equations, allowing for both second-order and fourth-order diffusion terms, is carried out. The fourth order equ…