64 citations · 945 across the 94 of their papers we have counts for
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Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy
J. F. Gomes, Guilherme S. França, A. H. Zimerman
We propose an approach to the nonvanishing boundary value problem for integrable hierarchies based on the dressing method. Then we apply the method to the AKNS hierarchy. The solut…
Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation
J. F. Gomes, Guilherme S. França, A. H. Zimerman
A Kac-Moody algebra construction for the integrable hierarchy containing the Gardner equation is proposed. Solutions are systematically constructed employing the dressing method an…
Type-II Bäcklund Transformations via Gauge Transformations
A. R. Aguirre, T. R. Araujo, J. F. Gomes +1
The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserv…