Sufficient conditions for orbital stability of periodic traveling waves
From MaRDI portal
Publication:2631717
DOI10.1016/j.jde.2019.01.029zbMath1433.35330arXiv1611.04771OpenAlexW2963534255WikidataQ128487678 ScholiaQ128487678MaRDI QIDQ2631717
Giovana Alves, Ademir Pastor Ferreira, Fábio M. Amorin Natali
Publication date: 16 May 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.04771
HessianKorteweg-de Vries equationshallow-water equationscnoidal wavesdispersive equationsenergy surface function
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
Related Items
Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components ⋮ Nonlinear stability of periodic-wave solutions for systems of dispersive equations ⋮ A comment about the paper ``On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation ⋮ Wave Propagation On a String Resting on a General Nonlinear Substrate ⋮ Periodic travelling waves for a fourth order nonlinear evolution equation ⋮ Stability of smooth periodic travelling waves in the Camassa–Holm equation ⋮ On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation ⋮ Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics ⋮ Orbital stability of periodic traveling waves for the ``abcd Boussinesq systems ⋮ On the stability of periodic traveling waves for the modified Kawahara equation ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED ⋮ Periodic traveling waves in a taut cable on a bilinear elastic substrate
Cites Work
- Unnamed Item
- Unnamed Item
- The orbital stability of the cnoidal waves of the Korteweg-de Vries equation
- Stability properties of periodic traveling waves for the intermediate long wave equation
- On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation
- Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations
- Nonlocal models for nonlinear, dispersive waves
- Stability theory of solitary waves in the presence of symmetry. II
- Stability of cnoidal waves
- The modulational instability for a generalized Korteweg-de Vries equation
- Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation
- Stability theory of solitary waves in the presence of symmetry. I
- Perturbation theory for linear operators.
- Spectral and dynamical stability of nonlinear waves
- An instability index theory for quadratic pencils and applications
- On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations
- Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
- An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
- The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave
- Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions
- Stability and instability of solitary waves of Korteweg-de Vries type
- Positivity Properties and Stability of Solitary–Wave Solutions of Model Equations For Long Waves
- On the stability theory of solitary waves
- Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
- Orbital stability of periodic traveling wave solutions for the Kawahara equation
