TY - JOUR
T1 - The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations
AU - Zhang , Ling-Di
AU - Tian , Shou-Fu
AU - Peng , Wei-Qi
AU - Zhang , Tian-Tian
AU - Yan , Xing-Jie
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 243
EP - 255
PY - 2020
DA - 2020/04
SN - 10
DO - http://doi.org/10.4208/eajam.130219.290819
UR - https://global-sci.org/intro/article_detail/eajam/16136.html
KW - Lump solution, lumpoff solution, rogue wave solution, Hirota bilinear form.
AB - <p style="text-align: justify;">The Hirota-Satsuma-Ito equation in (2+1)-dimensions is studied and a new general representation of lump solutions is derived. If the lump soliton is generated by an exponentially localised line soliton, we obtain a lumpoff solution. On the other hand, if the lump soliton is generated by an exponentially localised twin plane soliton, we obtain a rogue solution. The appearance time and location of extreme rogue waves can be studied and predicted. Graphical examples demonstrate the dynamical behaviour of lumpoff and rogue waves.</p>