Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation
From MaRDI portal
Publication:2436337
DOI10.1007/s00205-013-0672-2zbMath1287.35077OpenAlexW1979198486MaRDI QIDQ2436337
Ying Zhang, Yue Liu, Xiao-Chuan Liu, Chang-Zheng Qu
Publication date: 24 February 2014
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-013-0672-2
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items
Orbital stability of periodic peakons for a new higher-order μ-Camassa–Holm equation, Orbital stability of periodic peakons for a generalized Camassa–Holm equation, Nonlocal symmetries and conservation laws of nonlocal Camassa-Holm type equations, Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation, Instability of \(H^1\)-stable periodic peakons for the \(\mu\)-Camassa-Holm equation, Stability of periodic peakons for a nonlinear quartic \(\mu\)-Camassa-Holm equation, Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\), Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa-Holm equation, Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation, Geometric hydrodynamics and infinite-dimensional Newton’s equations, Periodic peakons to a generalized μ-Camassa–Holm–Novikov equation, Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation
- On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- A convergent numerical scheme for the Camassa-Holm equation based on multipeakons
- On geodesic exponential maps of the Virasoro group
- Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Stability and asymptotic stability for subcritical gKdV equations
- Propagation of ultra-short optical pulses in cubic nonlinear media
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Stability of the \(\mu \)-Camassa-Holm peakons
- Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Stability of multipeakons
- Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
- Stability of peakons for the Degasperis-Procesi equation
- Dynamics of Director Fields
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- An integrable equation governing short waves in a long-wave model
- Orbital stability of solitary waves for a shallow water equation
- Integrable equations arising from motions of plane curves
- Integrable evolution equations on spaces of tensor densities and their peakon solutions
