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Dr. Mohamed Reda Ali Mohamed :: Publications: |
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| Title: | Darboux transformation for soliton solutions of the
modified Kadomtsev-Petviashvili-II equation |
| Authors: | Mohamed R. Ali |
| Year: | 2019 |
| Keywords: | Darboux transformation, multisoliton solution, spectral problem, generalized Korteweg-de Vries equations, Boussinesq equation. |
| Journal: | Communication in Mathematical Modeling and Applications |
| Volume: | 2019 |
| Issue: | 3 |
| Pages: | 9 |
| Publisher: | http://ntmsci.com/cmma |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Reda Ali Mohamed _Mohamed R..Ali.pdf |
| Supplementary materials | Not Available |
| Abstract: |
Soliton solutions as far as hyperbolic cosines to the modified Kadomtsev–Petviashvili II equation are displayed. The behaviour of each line soliton in the far region can be characterized analytically. It is revealed that under certain conditions, there may appear an isolated bump in the interaction centre, which is much higher in peak amplitude than the surrounding line solitons, and the more line solitons interact, the higher isolated bump will form. These results may provide a clue to generation of extreme high-amplitude waves, in a reservoir of small waves, based on nonlinear interactions between the involved waves. |
