@Article{EAJAM-10-2, author = {Zhang, Ling-Di and Tian, Shou-Fu and Wei-Qi, Peng and Zhang, 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 = {https://global-sci.com/article/82559/the-dynamics-of-lump-lumpoff-and-rogue-wave-solutions-of-21-dimensional-hirota-satsuma-ito-equations} }