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Abstract
This paper is concerned with the following nonlinear Schrödinger system involving magnetic fields
where is a small parameter,
and
is a coupling constant. A(x) is a real vector magnetic potential,
and
are positive functions. Using a Lyapunov–Schmidt variational reduction, we show that there are multiple synchronized vector solutions concentrating at the same local maximal point of
and
for suitable range of
when the Planck constant
tends to
, while there are multiple segregated vector solutions whose components concentrates at difference maximal points of
and
, respectively, for suitable range of
.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
W. Liu was supported by NSFC [grant number 11301204]; Y. Peng was supported by NSFC [grant number 11501143], The PhD launch scientific research projects of Guizhou Normal University [2014].