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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 10
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Articles

Riemann–Hilbert approach of the coupled nonisospectral Gross–Pitaevskii system and its multi-component generalization

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Pages 2200-2209 | Received 22 Jun 2019, Accepted 08 Oct 2019, Published online: 22 Oct 2019
 

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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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (No. 11371326 and No. 11975145).

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