Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations

DOI10.1137/21M1433162MaRDI QIDQ5887729

Long Pei, Gabriele Bruell

Publication date: 13 April 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05739

zbMATH Keywords

symmetrytraveling wavesmethod of moving planesnonlinear and nonlocal dispersive equations

Mathematics Subject Classification ID

Periodic solutions of integral equations (45M15) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06) Integro-partial differential equations (35R09)

Related Items (1)

Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations

Cites Work

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• On the symmetry of periodic gravity water waves with vorticity.
• Symmetry and decay of traveling wave solutions to the Whitham equation
• Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation
• Symmetry of solitary water waves with vorticity
• Partial differential equations. III: Nonlinear equations.
• Symmetry and related properties via the maximum principle
• Traveling wave solutions of the Degasperis-Procesi equation
• Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
• Exact periodic traveling water waves with vorticity
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• Decay and symmetry of solitary waves
• On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
• Surface waves of finite depth
• Some properties of completely monotonic sequences and related interpolation
• A symmetry problem in potential theory
• Steady Water Waves with Multiple Critical Layers
• Symmetry of steady deep-water waves with vorticity
• On the Fourier Analysis of Operators on the Torus
• Symmetric Waves Are Traveling Waves
• Symmetry of solitary waves
• Exact steady periodic water waves with vorticity
• Symmetric solutions of evolutionary partial differential equations
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Symmetry of steady periodic surface water waves with vorticity
• Waves of maximal height for a class of nonlocal equations with homogeneous symbols
• Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols
• Symmetry of steady periodic water waves with vorticity
• Classification of solutions for an integral equation
• Global Bifurcation Theory of Deep-Water Waves with Vorticity
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V

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