Asymptotic stability of solitary waves in the Benney-Luke model of water waves.

zbMath1289.37043arXiv1202.0450MaRDI QIDQ375455

Tetsu Mizumachi, Robert L. Pego, José Rául Quintero

Publication date: 30 October 2013

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0450

zbMATH Keywords

solitary waveslinear stabilitynonlinear stabilityspectral stabilityBenney-Luke equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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