Single peaked traveling wave solutions to a generalized \(\mu\)-Novikov equation
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Publication:2188413
DOI10.1515/anona-2020-0106zbMath1440.35276OpenAlexW3034041735MaRDI QIDQ2188413
Publication date: 11 June 2020
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0106
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 problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Local and global analyticity for theμ-Novikov equation ⋮ Orbital stability of periodic peakons for the generalized modified Camassa-Holm equation ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system ⋮ The d-bar formalism for the modified Veselov-Novikov equation on the half-plane ⋮ 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
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- Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
- Integrable peakon systems with weak kink and kink-peakon interactional solutions
- Stability of peakons for the Novikov equation
- 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
- Analyticity of periodic traveling free surface water waves with vorticity
- 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
- The trajectories of particles in Stokes waves
- A remark on the stability of peakons for the Degasperis-Procesi equation
- 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
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- 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 blow-up of solutions of a periodic shallow water equation
- A Liouville property with application to asymptotic stability for the Camassa-Holm equation
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- 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
- On the stability of the solitary waves to the (generalized) Kawahara equation
- Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
- Orbital stability of peakons for a generalization of the modified Camassa–Holm equation
- The existence of the single peaked traveling waves to the -Novikov equation
- Inverse scattering transform for the Camassa–Holm equation
- Invariant submanifold flows
- Integrable peakon equations with cubic nonlinearity
- Generalizations of the Camassa–Holm equation
- 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
- An integrable equation governing short waves in a long-wave model
- 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
