Orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation
From MaRDI portal
Publication:5231037
DOI10.1080/14029251.2016.1204720zbMath1420.35038OpenAlexW2467976386MaRDI QIDQ5231037
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2016.1204720
Stability in context of PDEs (35B35) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
- Stability of peakons for the Novikov equation
- Orbital stability of solitary waves for the compound KdV equation
- Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations
- Instability of solitary waves for generalized Boussinesq equations
- The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation
- Orbital stability of floating periodic peakons for the Camassa-Holm equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Stability theory of solitary waves in the presence of symmetry. II
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Instability of solitary waves in nonlinear composite media
- Existence, orbital stability and instability of solitary waves for coupled BBM equations
- Stability theory of solitary waves in the presence of symmetry. I
- The Hamiltonian structure of the Camassa-Holm equation
- New peaked solitary wave solutions of the generalized Camassa-Holm equation
- Stability of solitary waves for a nonlinearly dispersive equation
- Peaked wave solutions of Camassa-Holm equation
- Global weak solutions for a shallow water equation
- Stability of smooth solitary waves for the generalized Korteweg-de-Vries equation with combined dispersion
- Peakons and periodic cusp waves in a generalized Camassa-Holm equation
- Stability of the Camassa-Holm solitons
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Exact travelling wave solutions of a generalized Camassa-Holm equation using the integral bifurcation method
- New `ansatz' for obtaining wave solutions of the generalized Camassa-Holm equation
- Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
- Variational derivation of the Camassa-Holm shallow water equation
- Stability and instability of solitary waves of Korteweg-de Vries type
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- A Variational Approach to the Stability of Periodic Peakons
- THE EXPLICIT NONLINEAR WAVE SOLUTIONS AND THEIR BIFURCATIONS OF THE GENERALIZED CAMASSA–HOLM EQUATION
- Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
- Stability of negative solitary waves for an integrable modified Camassa–Holm equation
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
- On the Cauchy problem for the generalized Camassa-Holm equation
- Orbital stability of solitary waves for a shallow water equation
