The two-component \(\mu\)-Camassa-Holm system with peaked solutions
DOI10.3934/dcds.2020253zbMath1447.35286OpenAlexW3037577207MaRDI QIDQ2196691
Ying Fu, Ying-Ying Li, Chang-Zheng Qu
Publication date: 3 September 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020253
conservation lawblow-upCamassa-Holm equation\(\mu\)-Camassa-Holm equationpeaked solutiontwo-component \(\mu\)-Camassa-Holm system
Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Cites Work
- Persistence properties and infinite propagation for the modified 2-component Camassa-Holm equation
- Global periodic conservative solutions of a periodic modified two-component Camassa-Holm equation
- Global weak solutions for a two-component Camassa-Holm shallow water system
- Analyticity of periodic traveling free surface water waves with vorticity
- Global conservative solutions of a modified two-component Camassa-Holm shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- Global weak solutions for a modified two-component Camassa-Holm equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- On geodesic exponential maps of the Virasoro group
- Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Stokes waves
- On the Cauchy problem for an integrable equation with peakon solutions
- On the blow-up of solutions of a periodic shallow water equation
- The Camassa-Holm equation: a loop group approach
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Stability of the \(\mu \)-Camassa-Holm peakons
- Stability of multipeakons
- Some remarks for a modified periodic Camassa-Holm system
- The Cauchy problem for the modified two-component Camassa-Holm system in critical Besov space
- A two-component generalization of the Camassa-Holm equation and its solutions
- Inverse scattering transform for the Camassa–Holm equation
- Invariant submanifold flows
- A two-component μ-Hunter–Saxton equation
- Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons
- Commutator estimates and the euler and navier-stokes equations
- 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
- The Scattering Approach for the Camassa—Holm equation
- Global Solutions for the Two-Component Camassa–Holm System
- Generalized Fourier transform for the Camassa–Holm hierarchy
- Integrable equations arising from motions of plane curves
- Integrable evolution equations on spaces of tensor densities and their peakon solutions
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