A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients
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Publication:1691853
DOI10.1007/BF03377410zbMath1386.35275arXiv1610.09203OpenAlexW2544544717MaRDI QIDQ1691853
Wolfgang Reichel, Michael Plum
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09203
Periodic solutions to ordinary differential equations (34C25) Second-order semilinear hyperbolic equations (35L71)
Related Items (6)
Breathers and rogue waves for semilinear curl-curl wave equations ⋮ Breather solutions for a radially symmetric curl-curl wave equation with double power nonlinearity ⋮ Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph ⋮ Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials ⋮ A uniqueness result for the sine-Gordon breather ⋮ Variational methods for breather solutions of nonlinear wave equations
Cites Work
- Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity
- Ground states of a nonlinear curl-curl problem in cylindrically symmetric media
- Magnetostatic solutions for a semilinear perturbation of the Maxwell equations
- Nonlinear scalar field equations. I: Existence of a ground state
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Existence of static solutions of the semilinear Maxwell equations
- Existence of solutions for semilinear elliptic equations with indefinite linear part
- Existence of solitary waves in higher dimensions
- Nonpersistence of breather families for the perturbed sine Gordon equation
- Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients
- Towards a unified field theory for classical electrodynamics
- Inverse spectral theory for uniformly open gaps in a weighted Sturm-Liouville problem
- Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
- Breather solutions in periodic media
- Optical breathers in nonlinear anisotropic and dispersive media
- BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION
- The rigidity of sine‐gordon breathers
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System
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