Found 33 Documents (Results 1–33)
Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. I: Axisymmetric solitons and their stability. (English) Zbl 1540.35342
Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves. (English) Zbl 1518.76007
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation. (English) Zbl 1529.35119
On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves. (English) Zbl 1524.35632
Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles. (English) Zbl 1443.76233
MSC:
76T10
Transverse linear stability of line periodic traveling waves for water-wave models. (English) Zbl 1479.35076
Nondegeneracy, Morse index and orbital stability of the KP-I lump solution. (English) Zbl 1428.35458
Global well-posedness of partially periodic KP-I equation in the energy space and application. (English) Zbl 1404.35106
Transverse nonlinear instability of Euler-Korteweg solitons. (English. French summary) Zbl 1375.35458
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model. (English) Zbl 1357.35084
Transverse dynamics of two-dimensional gravity-capillary periodic water waves. (English) Zbl 1356.37082
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. (English) Zbl 1253.35150
Stability and instability of the KdV solitary wave under the KP-I flow. (English) Zbl 1252.35052
Reviewer: Ahmed Lesfari (El Jadida)
Transverse instability of the line solitary water-waves. (English) Zbl 1225.35024
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
Transverse spectral stability of small periodic traveling waves for the KP equation. (English) Zbl 1218.35208
Reviewer: Aleksey Kostenko (Donetsk)
Transverse instability of surface solitary waves. II: Numerical linear stability analysis. (English) Zbl 1197.76056
Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with \(p\)-power of nonlinearity. (English) Zbl 1197.35221
Global well-posedness of the KP-I initial-value problem in the energy space. (English) Zbl 1188.35163
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. (English) Zbl 1128.37043
Global well-posedness for the KP-I equation on the background of a non-localized solution. (English) Zbl 1160.35065
Reviewer: Q. P. Liu (Beijing)
Acoustic mode in a two-ion-temperature warm dusty plasma under the weakly transverse perturbations. (English) Zbl 1098.82627
Transverse instability of solitons propagating on current-carrying metal thin films. (English) Zbl 0978.35068
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. (English) Zbl 0949.35120
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