A rigidity property for the Novikov equation and the asymptotic stability of peakons
From MaRDI portal
Publication:2036634
DOI10.1007/s00205-021-01658-zzbMath1468.35167OpenAlexW3157671995MaRDI QIDQ2036634
Dehua Wang, Robin Ming Chen, Wei Lian, Run-Zhang Xu
Publication date: 30 June 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-021-01658-z
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Weak solutions to PDEs (35D30) Soliton solutions (35C08)
Related Items
The stability of the b-family of peakon equations ⋮ Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation ⋮ Blow-up analysis for the \(ab\)-family of equations ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system ⋮ Small solitons and multisolitons in the generalized Davey-Stewartson system ⋮ A view of the peakon world through the lens of approximation theory ⋮ The d-bar formalism for the modified Veselov-Novikov equation on the half-plane
Cites Work
- Unnamed Item
- Stability of peakons for the Novikov equation
- Transport equation and Cauchy problem for BV vector fields
- Asymptotic stability of peakons for the Novikov equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Asymptotic stability of solitary waves
- A Liouville property with application to asymptotic stability for the Camassa-Holm equation
- A rigidity result for the Holm-Staley \(b\)-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon
- Instability of \(H^1\)-stable peakons in the Camassa-Holm equation
- Asymptotic stability of solitons of the gKdV equations with general nonlinearity
- Asymptotic stability of solitons for mKdV
- Large Time Asymptotics of Solutions Around Solitary Waves to the Generalized Korteweg--de Vries Equations
- Global weak solutions for the Novikov equation
- An extension of integrable peakon equations with cubic nonlinearity
- Integrable peakon equations with cubic nonlinearity
- Generalizations of the Camassa–Holm equation
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- On the stability theory of solitary waves
- An integrable shallow water equation with peaked solitons
- Asymptotic stability of solitons of the subcritical gKdV equations revisited
- Well-posedness and global existence for the Novikov equation
- Exponential decay of H 1 -localized solutions and stability of the train of N solitary waves for the Camassa–Holm equation
- Asymptotic stability of solitons for subcritical generalized KdV equations
