Spectral instability of peakons for the $b$-family of Novikov equations

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Soliton solutions (35C08)

Cites Work

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Stability of peakons for the Novikov equation
Asymptotic stability of peakons for the Novikov equation
On a class of physically important integrable equations
Symplectic structures, their Bäcklund transformations and hereditary symmetries
A Liouville property with application to asymptotic stability for the Camassa-Holm equation
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
On the Cauchy problem for the modified Novikov equation with peakon solutions
Wave-breaking and peakons for a modified Camassa-Holm equation
Orbital and asymptotic stability of a train of peakons for the Novikov equation
A rigidity property for the Novikov equation and the asymptotic stability of peakons
Instability and nonuniqueness for the $b$-Novikov equation
Instability of $H^1$-stable peakons in the Camassa-Holm equation
Orbital stability of periodic waves in the class of reduced Ostrovsky equations
On the scattering problem for the Camassa-Holm equation
Ordinary differential equations and dynamical systems
The Periodic Cauchy Problem for Novikov's Equation
Stability of peakons for the Degasperis-Procesi equation
Generalizations of the Camassa–Holm equation
Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
Stability of peakons
An integrable shallow water equation with peaked solitons
Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation
A Variational Approach to the Stability of Periodic Peakons
An Introduction to Partial Differential Equations
Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
The stability of the b-family of peakon equations
Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations
Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations
Functional Analysis
The Cauchy problem for a generalized Camassa-Holm equation
Orbital stability of solitary waves for a shallow water equation
Analysis on the blow-up of solutions to a class of integrable peakon equations
Spectral and linear stability of peakons in the Novikov equation

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Spectral instability of peakons for the \(b\)-family of Novikov equations