Stability of smooth periodic traveling waves in the Degasperis-Procesi equation

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) Traveling wave solutions (35C07) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Bifurcation values for a family of planar vector fields of degree five
Floquet's theorem and stability of periodic solitary waves
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
The monotonicity of the period function for planar Hamiltonian vector fields
An explicit expression of the first Lyapunov and period constants with applications
Traveling wave solutions of the Degasperis-Procesi equation
Stability of the Camassa-Holm solitons
Spectral and dynamical stability of nonlinear waves
A view of the peakon world through the lens of approximation theory
Stability of smooth solitary waves in the $b$-Camassa-Holm equation
Periodic waves in the fractional modified Korteweg-de Vries equation
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
Algebraic and analytical tools for the study of the period function
Instability of $H^1$-stable peakons in the Camassa-Holm equation
On the wave length of smooth periodic traveling waves of the Camassa-Holm equation
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation
Traveling wave solutions of the Camassa-Holm equation
Orbital stability of smooth solitary waves for the $b$-family of Camassa-Holm equations
On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations
An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
Perturbation of continuous spectra by Trace class operators
Stability for the periodic Camassa-Holm equation
Well-posedness, blow-up phenomena, and global solutions for the b-equation
An integrable shallow water equation with peaked solitons
Camassa–Holm, Korteweg–de Vries and related models for water waves
Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
Orbital stability of smooth solitary waves for the Degasperis-Procesi equation
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem
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
Spectral Stability of Nonlinear Waves in KdV‐Type Evolution Equations
Water waves and integrability
Stability of smooth periodic travelling waves in the Camassa–Holm equation
Orbital stability of periodic traveling waves in the $b$-Camassa-Holm equation

This page was built for publication: Stability of smooth periodic traveling waves in the Degasperis-Procesi equation