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math.DG2007
Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
Jeanne N. Clelland, Thomas A. Ivey
We prove that second-order hyperbolic Monge-Ampere equations for one function of two variables are connected to the wave equation by a Backlund transformation if and only if they a…
nlin.SI2007
Spectral stability of periodic NLS and CGL solutions
Thomas Ivey, Stephane Lafortune
We consider periodic traveling wave solutions to the focusing nonlinear Schrodinger equation (NLS) that have been shown to persist when the NLS is perturbed to the complex Ginzburg…