Year: 2019
Author: Yi Zhang, Chujun Chen, Yinkang Xu, Yinjie Lu
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 179–192
Abstract
By virtue of the KP hierarchy reduction method, the $N$-dark soliton solutions of the multi-component Maccari system are constructed. Taking the coupled Maccari system for instance, the $N$-dark soliton solutions are further obtained in terms of determinants. In addition, in contrast with bright-bright soliton collisions, the dynamical analysis shows that the collisions of dark-dark solitons are elastic and there is no energy exchange among solitons in different components. What's more, we also investigate the dark-dark soliton bound states including stationary and moving ones.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.179
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 179–192
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: $N$-dark soliton solutions the multi-component Maccari system KP hierarchy reduction method.