8 citations · 36 across the 23 of their papers we have counts for
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Beltrami fields with nonconstant proportionality factor
Jeanne N. Clelland, Taylor Klotz
We consider the question raised by Enciso and Peralta-Salas in [4] (see arXiv:1402.6825): What nonconstant functions can occur as the proportionality factor for a Beltrami fiel…
A solvable string on a Lorentzian surface
Jeanne N. Clelland, Peter J. Vassiliou
It is shown that there are nonlinear sigma models which are Darboux integrable and possess a solvable Vessiot group in addition to those whose Vessiot groups are central extensions…
Strings attached: New light on an old problem
Jeanne N. Clelland, Peter J. Vassiliou
The wave equation is generally regarded as a linear approximation to the equation describing the amplitude of a transversely vibrating elastic string in the p…
Parametric Backlund transformations I: Phenomenology
Jeanne N. Clelland, Thomas A. Ivey
We begin an exploration of parametric Backlund transformations for hyperbolic Monge-Ampere systems. We compute invariants for such transformations and explore the behavior of four…
On the intermediate integral for Monge-Ampere equations
Jeanne Nielsen Clelland
Goursat showed that in the presence of an intermediate integral, the problem of solving a second-order Monge-Ampere equation can be reduced to solving a first-order equation, in th…