Stability and instability of the KdV solitary wave under the KP-I flow
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Publication:443874
DOI10.1007/s00220-012-1495-yzbMath1252.35052arXiv1104.2555OpenAlexW2065964547MaRDI QIDQ443874
Frédéric Rousset, Nickolay Tzvetkov
Publication date: 13 August 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.2555
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Solitary waves for incompressible inviscid fluids (76B25) Soliton solutions (35C08)
Related Items (19)
Transverse instability of line solitary waves in massive Dirac equations ⋮ Global well-posedness of partially periodic KP-I equation in the energy space and application ⋮ Transverse stability issues in Hamiltonian PDE ⋮ Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators ⋮ Transverse dynamics of two-dimensional gravity-capillary periodic water waves ⋮ Numerical study of the Kadomtsev–Petviashvili equation and dispersive shock waves ⋮ Transverse nonlinear instability of Euler-Korteweg solitons ⋮ Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation ⋮ Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations ⋮ Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation ⋮ The Phase Shift of Line Solitons for the KP-II Equation ⋮ Transverse instability for a system of nonlinear Schrödinger equations ⋮ Normal form for transverse instability of the line soliton with a nearly critical speed of propagation ⋮ Stability for line solitary waves of Zakharov-Kuznetsov equation ⋮ Existence and stability of standing waves for supercritical NLS with a partial confinement ⋮ Transverse stability of line soliton and characterization of ground state for wave guide Schrödinger equations ⋮ Transverse linear stability of line periodic traveling waves for water-wave models ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution ⋮ Multi-solitons and Related Solutions for the Water-waves System
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