A simple criterion for transverse linear instability of nonlinear waves
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Publication:512345
DOI10.1016/J.CRMA.2015.10.017zbMath1356.35037OpenAlexW2195509041MaRDI QIDQ512345
Publication date: 24 February 2017
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2015.10.017
Stability in context of PDEs (35B35) Eigenvalue problems for linear operators (47A75) Soliton solutions (35C08)
Related Items (5)
A dimension-breaking phenomenon for water waves with weak surface tension ⋮ Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves ⋮ Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations ⋮ A Priori Bounds and Global Bifurcation Results for Frequency Combs Modeled by the Lugiato--Lefever Equation ⋮ Transverse linear stability of line periodic traveling waves for water-wave models
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- Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
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