100 citations · 606 across the 37 of their papers we have counts for
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nlin.SI2017★ 5 cited
Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis-Procesi Equation
Alexander Rasin, Jeremy Schiff
We summarize the results of our recent work on Bäcklund transformations (BTs), particularly focusing on the relationship of BTs and infinitesimal symmetries. We present a BT for an…
nlin.PS2017★ 3 cited
Analytic Methods to Find Beating Transitions of Asymmetric Gaussian Beams in GNLS equations
David Ianetz, Jeremy Schiff
In a simple model of propagation of asymmetric Gaussian beams in nonlinear waveguides, described by a reduction to ordinary differential eqautions of generalized nonlinear Schrodin…
nlin.SI2017★ 24 cited
Bäcklund Transformations for the Boussinesq Equation and Merging Solitons
Alexander Rasin, Jeremy Schiff
The Bäcklund transformation (BT) for the "good" Boussinesq equation and its superposition principles are presented and applied. Unlike many other standard integrable equations, the…