Abstract
ABSTRACT In this paper, we focus on the N-soliton solutions for the coupled nonisospectral Gross–Pitaevskii (GP) system. By using the Riemann–Hilbert approach, analyzing the spectral problem of the Lax pair, a kind of Riemann–Hilbert problem for a system of the coupled nonisospectral GP system is derived, and the N-soliton solutions for the equation under the conditions of irregularity and reflectionless cases also are presented. Moreover, the multi-component coupled nonisospectral GP system is generalized.
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