Abstract
In this paper, we construct an equivalent spin chain for the Gross–Pitaevskii equation with quadratic potential and exponentially varying scattering lengths using gauge equivalence. We have then generated the soliton solutions for the spin components S3 and S−. We find that the spin solitons for S3 and S− can be compressed for exponentially growing eigenvalues while they broaden out for decaying eigenvalues.
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