1D PHONON SCATTERING BY STABLE SPATIALLY INHOMOGENEOUS EQUILIBRIUM SOLUTION IN NONLINEAR DISCRETE KLEIN–GORDON MODEL: EXACT ANALYSIS
DOI10.1142/S0217979212500257zbMath1257.81026MaRDI QIDQ4907655
Priyadarshi Majumdar, Subhendu Panda
Publication date: 21 February 2013
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization
- Localised modes on localised equilibria
- Wave scattering by discrete breathers
- Breathers and thermal relaxation in Fermi–Pasta–Ulam arrays
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