29 citations · 52 across the 12 of their papers we have counts for
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orbital stability of Dirac solitons in the massive Thirring model
Andres Contreras, Dmitry E. Pelinovsky, Yusuke Shimabukuro
We prove orbital stability of Dirac solitons in the massive Thirring model. Our analysis uses local well posedness of the massive Thirring model in , conservation of the…
Domain walls in the coupled Gross-Pitaevskii equations
Stan Alama, Lia Bronsard, Andres Contreras +1
A thorough study of domain wall solutions in coupled Gross-Pitaevskii equations on the real line is carried out including existence of these solutions; their spectral and nonlinear…
Stability of multi-solitons in the cubic NLS equation
Andres Contreras, Dmitry E. Pelinovsky
We address stability of multi-solitons in the cubic NLS (nonlinear Schrödinger) equation on the line. By using the dressing transformation and the inverse scattering transform meth…