Orbital stability of periodic traveling waves in the \(b\)-Camassa-Holm equation
DOI10.1016/J.PHYSD.2024.134105MaRDI QIDQ6545995
Mathew A. Johnson, Brett Ehrman
Publication date: 29 May 2024
Published in: Physica D (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Ill-posed problems for PDEs (35R25) Perturbations in context of PDEs (35B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Traveling wave solutions (35C07) Soliton solutions (35C08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Ill-posedness for the \(b\)-family of equations
- On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation
- On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions
- Floquet's theorem and stability of periodic solitary waves
- The modulational instability for a generalized Korteweg-de Vries equation
- The monotonicity of the period function for planar Hamiltonian vector fields
- Stability theory of solitary waves in the presence of symmetry. I
- Stability of the Camassa-Holm solitons
- Spectral and dynamical stability of nonlinear waves
- Stability of traveling wave solutions of nonlinear dispersive equations of NLS type
- Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation
- Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
- On the wave length of smooth periodic traveling waves of the Camassa-Holm equation
- An instability index theory for quadratic pencils and applications
- Orbital stability of periodic waves for the nonlinear Schrödinger equation
- Sufficient conditions for orbital stability of periodic traveling waves
- Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations
- Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
- An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Painlevé Tests, Singularity Structure and Integrability
- A class of Hamiltonian systems with increasing periods.
- Perturbative symmetry approach
- Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
- Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
- Modulational Instability of Viscous Fluid Conduit Periodic Waves
- Non-linear dispersive waves
- Stability of smooth periodic travelling waves in the Camassa–Holm equation
- Rigorous justification of the Whitham modulation equations for equations of Whitham type
Related Items (2)
This page was built for publication: Orbital stability of periodic traveling waves in the \(b\)-Camassa-Holm equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6545995)
