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Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials. (English) Zbl 1105.35117
The authors analyse ground state solutions of two-component systems of NLS equations with trap potentials. Using singular perturbation technique they prove how trap potentials and the interspecies scattering length affect the location of spikes.

##### MSC:
 35Q55 NLS equations (nonlinear Schrödinger equations) 35B25 Singular perturbations in context of PDEs 92C17 Cell movement (chemotaxis, etc.)
##### Keywords:
NLS equation; trap potential; spike; singular perturbation
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##### References:
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