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math.AP2002
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…
math.AP1998
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…