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Volume 6, Issue 5
Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times

F. Hamidouche, Y. Mammeri & S. M. Mefire

Commun. Comput. Phys., 6 (2009), pp. 1022-1062.

Published online: 2009-06

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  • Abstract

From a spectral method combined with a predictor-corrector scheme, we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations. In a systematic way, the dispersion, the blowup in finite time, the solitonic behavior and the transverse instabilities are numerically inspected.

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@Article{CiCP-6-1022, author = {F. Hamidouche, Y. Mammeri and S. M. Mefire}, title = {Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {5}, pages = {1022--1062}, abstract = {

From a spectral method combined with a predictor-corrector scheme, we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations. In a systematic way, the dispersion, the blowup in finite time, the solitonic behavior and the transverse instabilities are numerically inspected.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7716.html} }
TY - JOUR T1 - Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times AU - F. Hamidouche, Y. Mammeri & S. M. Mefire JO - Communications in Computational Physics VL - 5 SP - 1022 EP - 1062 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7716.html KW - AB -

From a spectral method combined with a predictor-corrector scheme, we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations. In a systematic way, the dispersion, the blowup in finite time, the solitonic behavior and the transverse instabilities are numerically inspected.

F. Hamidouche, Y. Mammeri and S. M. Mefire. (2009). Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times. Communications in Computational Physics. 6 (5). 1022-1062. doi:
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