Dark soliton interactions for a fifth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

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• 作者：Zhong-Zhou Lan ; Yi-Tian Gao ; ^{gaoyt163@163.com} ; Chen Zhao ; Jin-Wei Yang ; Chuan-Qi Su
• 关键词：Heisenberg ferromagnetic spin chain ; Fifth-order nonlinear Schrö ; dinger equation ; Dark soliton interactions ; Hirota method
• 刊名：Superlattices and Microstructures
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：100
• 期：Complete
• 页码：191-197
• 全文大小：849 K
• 卷排序：100

文摘

By virtue of the Hirota method with two auxiliary functions, bilinear forms, dark one-, two- and three-soliton solutions are derived. Velocities of the dark solitons are linearly related to the higher-order dispersion coefficients, while amplitudes do not depend on them at all. Head-on and overtaking interactions between the dark two solitons are displayed, and their shapes keep the same during the interaction.