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The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations

The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations
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Year:    2020

Author:    Ling-Di Zhang, Shou-Fu Tian, Wei-Qi Peng, Tian-Tian Zhang, Xing-Jie Yan

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.130219.290819

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 243–255

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Lump solution lumpoff solution rogue wave solution Hirota bilinear form.

Author Details

Ling-Di Zhang

Shou-Fu Tian

Wei-Qi Peng

Tian-Tian Zhang

Xing-Jie Yan

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