72 citations · 436 across the 25 of their papers we have counts for
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nlin.SI2015★ 34 cited
Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang
We propose a method for construction of Darboux transformations, which is a new development of the dressing method for Lax operators invariant under a reduction group. We apply the…
nlin.SI2015★ 26 cited
Dressing method for the vector sine-Gordon equation and its soliton interactions
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordon equation. The explicit formulas for one kink and one breather are derived. The…