Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 86, Issue 5, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.86.054001
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Funding
- National Natural Science Foundation of China (NSFC) [11371248, 11431008]
- NSFC [11271254, 11428102, 11671255]
- Ministry of Economy and Competitiveness of Spain [MTM2012-37070, MTM2016-80276-P]
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The Sasa-Satsuma equation is an integrable high-order nonlinear Schrodinger (NLS) equation, and also is a complex modified KdV-type equation. It can describe the propagation of femtosecond pulses in optical fibers. Very recently, Ablowitz and Mussliman introduced a class of reverse space-time and reverse time nonlinear integrable equations, including the reverse space nonlocal NLS equation, the real and complex reverse space-time nonlocal mKdV, sine-Gordon, Davey-Stewartson equations, etc. So, what is nonlocal version of high-order NLS? In this paper, we introduce a reverse space-time nonlocal Sasa-Satsuma equation, i.e., a reverse space-time nonlocal high-order NLS equation, and derive its solutions with the binary Darboux transformation method. Periodic solutions, and some localized solutions, such as dark soliton, W-shaped soliton, M-shaped soliton and breather soliton of the reverse space-time nonlocal Sasa-Satsuma equation are constructed.
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