Remarks on the interface layer of a two-component Bose-Einstein condensate

2015/10/13 by Sourdis, Christos
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.03647

Abstract

We consider the heteroclinic connection problem for a class of Hamiltonian systems, containing a large competition parameter, which arise in the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of segregation. This problem was studied in detail recently in arXiv:1509.08328 under a symmetry assumption. Here, we extend the approach of the latter paper to the nonsymmetric case, to recover essentially the same result. Moreover, we establish a uniqueness result for such solutions.

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