Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 58, Issue 10, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5005611
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Funding
- National Natural Science Foundation of China (NNSFC) [11271254, 11428102, 11671255]
- Ministry of Economy and Competitiveness of Spain [MTM2012-37070, MTM2016-80276-P]
- NNSFC [11371323, 11701510]
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In this paper, we prove that an integrable nonlocal complex modified Korteweg-de Vries (mKdV) equation introduced by Ablowitz and Musslimani [Nonlinearity 29, 915-946 (2016)] is gauge equivalent to a spin-like model. From the gauge equivalence, one can see that there exists significant difference between the nonlocal complex mKdV equation and the classical complex mKdV equation. Through constructing the Darboux transformation for nonlocal complex mKdV equation, a variety of exact solutions including dark soliton, W-type soliton, M-type soliton, and periodic solutions are derived. Published by AIP Publishing.
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