Spectral Stability for Classical Periodic Waves of the Ostrovsky and Short Pulse Models

DOI10.1111/sapm.12166zbMath1373.35246arXiv1604.03024OpenAlexW2963818757MaRDI QIDQ4588947

Milena Stanislavova, Atanas G. Stefanov, Sevdzhan A. Hakkaev

Publication date: 6 November 2017

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03024

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) General theory of rotating fluids (76U05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (8)

Orbital stability of periodic waves in the class of reduced Ostrovsky equations ⋮ Spectral stability of periodic waves in the generalized reduced Ostrovsky equation ⋮ Spectral stability of elliptic solutions to the short-pulse equation ⋮ Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations ⋮ Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation ⋮ Stability of traveling wave solutions of nonlinear dispersive equations of NLS type ⋮ Waves of maximal height for a class of nonlocal equations with homogeneous symbols ⋮ Bäcklund transformation and nonlinear superposition formula for the two-component short pulse equation

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