@Article{EAJAM-10-243, author = {Zhang , Ling-DiTian , Shou-FuPeng , Wei-QiZhang , Tian-Tian and Yan , Xing-Jie}, title = {The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {2}, pages = {243--255}, abstract = {
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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.130219.290819}, url = {http://global-sci.org/intro/article_detail/eajam/16136.html} }