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math.AP2023★ 5 cited
Construction of minimizing travelling waves for the Gross-Pitaevskii equation on
André de Laire, Philippe Gravejat, Didier Smets
As a sequel to our previous analysis in [9] arXiv:2202.09411 on the Gross-Pitaevskii equation on the product space , we construct a branch of finite e…
math.NA2023★ 1 cited
Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
André de Laire, Guillaume Dujardin, Salvador López-Martínez
The existence and decay properties of dark solitons for a large class of nonlinear nonlocal Gross-Pitaevskii equations with nonzero boundary conditions in dimension one has been es…