Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations
From MaRDI portal
Publication:2688099
DOI10.1016/j.physd.2023.133680OpenAlexW4319321163MaRDI QIDQ2688099
Publication date: 9 March 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00172
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations
- Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions
- Particle trajectories in linear water waves
- Stability theory of solitary waves in the presence of symmetry. I
- Wave breaking for nonlinear nonlocal shallow water equations
- The period function of a Hamiltonian quadratic system
- Peaked wave solutions of Camassa-Holm equation
- The period function for second-order quadratic ODEs is monotone
- Periodic cusp wave solutions and single-solitons for the \(b\)-equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- The monotonicity of period function for the codimension four quadratic system \(Q_4\).
- Stability of the Camassa-Holm solitons
- The period function of reversible Lotka-Volterra quadratic centers
- The period function of quadratic generalized Lotka-Volterra systems without complex invariant lines
- Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation
- The period function of Hamiltonian systems with separable variables
- Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
- Algebraic and analytical tools for the study of the period function
- On the wave length of smooth periodic traveling waves of the Camassa-Holm equation
- Spectral stability of periodic waves in the generalized reduced Ostrovsky equation
- Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\)
- Stability of stationary solutions for nonintegrable peakon equations
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Stability of peakons for the Degasperis-Procesi equation
- Bifurcation of Critical Periods for Plane Vector Fields
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Multi-peakon solutions of the Degasperis–Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- BIFURCATIONS OF SOLITARY WAVES AND DOMAIN WALL WAVES FOR KdV-LIKE EQUATION WITH HIGHER ORDER NONLINEARITY
- Solitary waves with intensity-dependent dispersion: variational characterization
- Orbital stability of solitary waves for a shallow water equation
- Similarity reductions of peakon equations: the $b$-family
This page was built for publication: Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations