Solitons are widely used in nonlinear optics, theoretical physics and other fields. In this paper, based on a spectral problem, the Dirac integrable equation is dealt with N-fold Darboux transformation, and analytic solutions for this equation are presented with the assistance of symbolic computation, and the propositions are provided for two different Darboux transformations. Two illustrative examples of the resulting solutions are displayed. Finally, their dynamic properties of those obtained solutions are discussed.
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Tian, Shou-Fu
Tu, Jian-Min
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Tu, Jian-Min
Zhang, Tian-Tian
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Zhang, Tian-Tian
Chen, Yi-Ren
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Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China