The Sasa-Satsuma equation is a higher order nonlinear Schrodinger type equation which admits bright soliton solutions with internal freedom. We present the dark soliton solutions for the equation by using Gram type determinant. The dark solitons have no internal freedom and exist for both defocusing and focusing equations.
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Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R ChinaShenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China
Zhang, Guangxiong
Shi, Changyan
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Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78541 USAShenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China
Shi, Changyan
Wu, Chengfa
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Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China
Shenzhen Univ, Sch Math Sci, Shenzhen 518060, Peoples R ChinaShenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China
Wu, Chengfa
Feng, Bao-Feng
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Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78541 USAShenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China