Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
From MaRDI portal
Publication:4931692
DOI10.1137/090752249zbMath1200.35261arXiv0901.4948OpenAlexW2144635068MaRDI QIDQ4931692
Publication date: 30 September 2010
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.4948
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) Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items
Orbital stability of periodic traveling-wave solutions for the regularized Schamel equation, Orbital stability of periodic traveling-wave solutions for the log-KdV equation, Orbital stability and instability of periodic wave solutions for ϕ4n -models, Diffusive stability of Turing patterns via normal forms, Orbital stability of periodic waves in the class of reduced Ostrovsky equations, Sufficient conditions for orbital stability of periodic traveling waves, Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications, Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem, Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry, Nonlinear stability of periodic-wave solutions for systems of dispersive equations, Spectral stability of periodic waves in the generalized reduced Ostrovsky equation, On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation, On the Stability of the Periodic Waves for the Benney System, Nonlinear stability of periodic traveling waves of the BBM system, On the stability analysis of periodic sine-Gordon traveling waves, On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions, Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations, Wave Propagation On a String Resting on a General Nonlinear Substrate, Transverse Orbital Stability of Periodic Traveling Waves for Nonlinear Klein-Gordon Equations, Stability of smooth periodic travelling waves in the Camassa–Holm equation, Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude, Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics, Spectral stability of periodic waves for the Drinfeld-Sokolov-Wilson equation, Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation, Nonlinear modulational instability of dispersive PDE models, Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation, An instability index theory for quadratic pencils and applications, Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations, The Stability Analysis of the Periodic Traveling Wave Solutions of the mKdV Equation, The Transverse Instability of Periodic Waves in Zakharov-Kuznetsov Type Equations, Periodic finite-genus solutions of the KdV equation are orbitally stable, Stability of traveling wave solutions of nonlinear dispersive equations of NLS type, On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations, Orbital stability of periodic traveling-wave solutions for a dispersive equation, Convergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg--de Vries Equation, Direct Characterization of Spectral Stability of Small-Amplitude Periodic Waves in Scalar Hamiltonian Problems via Dispersion Relation, Periodic traveling waves in a taut cable on a bilinear elastic substrate
