• Corpus ID: 234341159

Reduction of nonlinear field theory equations to envelope models: towards a universal understanding of analogues of relativistic systems

@inproceedings{Robson2021ReductionON,
  title={Reduction of nonlinear field theory equations to envelope models: towards a universal understanding of analogues of relativistic systems},
  author={Charles W. Robson and Fabio Biancalana},
  year={2021}
}
We investigate a novel mapping between solutions to several members of the Klein-Gordon family of equations and solutions to equations describing their reductions via the slowly varying envelope approximation. This mapping creates a link between the study of interacting relativistic fields and that of systems more amenable to laboratory-based analogue research, the latter described by nonlinear Schrödinger equations. A new evolution equation is also derived, emerging naturally from the sine… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 16 REFERENCES
The classical theory of fields
The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a
Nonlinear Fiber Optics
Nonlinear fiber optics concerns with the nonlinear optical phenomena occurring inside optical fibers. Although the field ofnonlinear optics traces its beginning to 1961, when a ruby laser was first
The Universe in a Helium Droplet
2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR
Handbook Of Mathematical Functions
TLDR
The handbook of mathematical functions is universally compatible with any devices to read and is available in the digital library an online access to it is set as public so you can get it instantly.
New
and G
  • Volovik (eds.), Artificial Black Holes,
  • 2002
Solitons
Chaos Solitons Fractals 27
  • 477
  • 2006
Optica 5
  • 1099
  • 2018
L
  • Di Mauro Villari, and F. Biancalana, Phys. Rev. D 99, 044042
  • 2019
...
...