Journal
CHAOS
Volume 27, Issue 8, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4998140
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Funding
- NSFC [11571346]
- Youth Innovation Promotion Association, CAS
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We investigate the integrable repulsive AB system and construct its Darboux transformation using the loop group method. The associated N-fold Darboux transformation is found in terms of simple determinants. Moreover, we derive multi-dark-dark solitons of the repulsive AB system with a non-vanishing background through the Darboux transformation with a limit procedure. Particularly, we exhibit the one-, two-, and three-dark-dark solitons. The results will be meaningful for the study of vector multi-dark solitons in many physical systems such as geophysical fluid dynamics and nonlinear optics. Published by AIP Publishing.
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