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 di...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.展开更多
基金This work was partly funded by the ITRANSFLU project of the Regional Council of Picardie in France.
文摘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.