Transverse Orbital Stability of Periodic Traveling Waves for Nonlinear Klein-Gordon Equations
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Publication:2953672
DOI10.1111/sapm.12131zbMath1360.35229OpenAlexW2402285632MaRDI QIDQ2953672
Ramón G. Plaza, Jaime Angulo Pava
Publication date: 5 January 2017
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12131
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07)
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Cites Work
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- On the stability analysis of periodic sine-Gordon traveling waves
- Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation
- On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions
- Stability theory of solitary waves in the presence of symmetry. II
- Stability of cnoidal waves
- Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation
- On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
- The modulational instability for a generalized Korteweg-de Vries equation
- Semigroups of linear operators and applications to partial differential equations
- Stability theory of solitary waves in the presence of symmetry. I
- The spectrum of Hill's equation
- On the structure of the spectra of periodic travelling waves
- Spectral and dynamical stability of nonlinear waves
- Modeling light bullets with the two-dimensional sine-Gordon equation
- Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations
- On periodic waves for sine- and sinh-Gordon equations
- Sine-Gordon solitons, kinks and breathers as physical models of nonlinear excitations in living cellular structures
- An instability index theory for quadratic pencils and applications
- Orbital stability of periodic waves for the nonlinear Schrödinger equation
- On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations
- Co-periodic stability of periodic waves in some Hamiltonian PDEs
- Transverse Spectral Stability of Small Periodic Traveling Waves for the KP Equation
- Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation
- Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
- Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions
- Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
- Orbital stability of periodic waves
- Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
- Graphical Krein Signature Theory and Evans--Krein Functions
