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An intrafield symbiotic form of the bright and the dark solitons, termed a symbion, is found in the framework of the Hartree approximation for a multidimensional nonlinear Schr\"odinger equation. Algebraically, the symbion can be expressed by the product of the two fields; its eigenvalue and stationary field distribution are determined analytically in a self-consistent fashion. The error due to the approximation is analyzed.
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Hayata et al. (1993) studied this question.
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