On the stability of nonlinear waves in integrable models
From MaRDI portal
Publication:1074781
DOI10.1016/0167-2789(84)90186-6zbMath0591.35056OpenAlexW2124435400MaRDI QIDQ1074781
M. D. Spector, G. E. Fal'kovich, Evgenii Kuznetsov
Publication date: 1984
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(84)90186-6
stabilityinverse scattering transform methodnonlinear wave equationsperiodic wavesKadomtsev-Petviashvili equation
Stability in context of PDEs (35B35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators, Transverse dynamics of two-dimensional gravity-capillary periodic water waves, The squared eigenfunctions of the massive Thirring model in laboratory coordinates, Two-dimensional instabilities of generalized Korteweg-de Vries waves, Nonlinear waves traveling upon a front of solitons, Integrability and linear stability of nonlinear waves, Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow, Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE, Instability and decay of solitary waves in the Davey-Stewartson \(1\) system, On the transverse instabilities of solitary waves., Nonlinear waves: Change of structure and collapse, Whitham modulation theory for the Kadomtsev– Petviashvili equation, Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit, Resonance theory of water waves in the long-wave limit, Transverse instability of solitons propagating on current-carrying metal thin films, Transverse instability of surface solitary waves. Part 2. Numerical linear stability analysis, Transverse instability of periodic and generalized solitary waves for a fifth-order KP model, Modulation instability of soliton trains in fiber communication systems, Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Cites Work
