@Article{EAJAM-8-100,
author = {Xiao-Yong Wen},
title = {Higher-Order Rogue Wave and Rational Soliton Solutions of Discrete Complex mKdV Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {1},
pages = {100--125},
abstract = {<p style="text-align: justify;">The generalised perturbation $(n, N−n)$-fold Darboux transformation is used
to derive new higher-order rogue wave and rational soliton solutions of the discrete
complex mKdV equations. The structure of such waves and details of their evolution
are investigated via numerical simulations, showing that the strong interaction yields
weak oscillation and stability whereas the weak interaction is associated with strong
oscillation and instability. A small noise has a weak influence on the wave propagation
for the strong interaction, but substantially changes the wave behaviour in the weak
interaction case.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.020817.101017a},
url = {http://global-sci.org/intro/article_detail/eajam/10887.html}
}