Volume 1, Issue 2
$N$-Dark Soliton Solutions for the Multi-Component Maccari System

Yi Zhang, Chujun Chen, Yinkang Xu & Yinjie Lu

J. Nonl. Mod. Anal., 1 (2019), pp. 179-192.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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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@Article{JNMA-1-179, author = {Zhang , YiChen , ChujunXu , Yinkang and Lu , Yinjie}, title = {$N$-Dark Soliton Solutions for the Multi-Component Maccari System}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.179}, url = {http://global-sci.org/intro/article_detail/jnma/18856.html} }
TY - JOUR T1 - $N$-Dark Soliton Solutions for the Multi-Component Maccari System AU - Zhang , Yi AU - Chen , Chujun AU - Xu , Yinkang AU - Lu , Yinjie JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 179 EP - 192 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.179 UR - https://global-sci.org/intro/article_detail/jnma/18856.html KW - $N$-dark soliton solutions, the multi-component Maccari system, KP hierarchy reduction method. AB -

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.

Yi Zhang, Chujun Chen, Yinkang Xu & Yinjie Lu. (1970). $N$-Dark Soliton Solutions for the Multi-Component Maccari System. Journal of Nonlinear Modeling and Analysis. 1 (2). 179-192. doi:10.12150/jnma.2019.179
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