Publication: Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations
Issued Date
2007-12-01
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2-s2.0-48049096132
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Mahidol University
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SCOPUS
Bibliographic Citation
Proceedings - The 2007 International Conference on Computational Science and its Applications, ICCSA 2007. (2007), 20-23
Suggested Citation
Sarun Phibanchon, Michael A. Allen Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations. Proceedings - The 2007 International Conference on Computational Science and its Applications, ICCSA 2007. (2007), 20-23. doi:10.1109/ICCSA.2007.77 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/24384
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Title
Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations
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Abstract
We solve the (2+1)-dimensional Schamel-Kadomtsev-Petviashvili equations with negative and positive dispersion numerically with one or two perturbed plane solitons as initial conditions. In the negative dispersion case, the plane soliton is stable and retains its identity. For the equation with positive dispersion, the plane solitons decay into two-dimensional lump solitons. We show that in contrast to onedimensional solitons, collisions between two lump solitons are far from elastic. We also demonstrate that the solitons emerging from the collision can be very sensitive to the alignment of the solitons prior to collision. © 2007 IEEE.