Bright and dark soliton solutions to the AB system and its multi-component generalization

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• 作者：Guo-Fu Yup>ap> ; Zong-Wei Xup>ap> ; Juan Hup> ; p>p>bp>p> ; p>p>hujuan@lsec.cc.ac.cnp> ; Hai-Qiong Zhaop>cp>
• 关键词：AB System ; Multi-component generalization ; Bright-soliton ; Dark-soliton ; Hirota bilinear method
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：47
• 期：Complete
• 页码：178-189
• 全文大小：977 K
• 卷排序：47

文摘

Bright soliton and dark soliton solutions in the Gram determinant form are constructed from Hirota method and Sato theory. Soliton dynamics of one-soliton and two-soliton are investigated. Multi-component generalization is given and shown to be integrable with Lax pairs. N−N−soliton solutions to the coupled AB system is presented in Pfaffian expression.