Corpus ID: 236428890

Two-component breather solution of the nonlinear Klein-Gordon equation

@inproceedings{Adamashvili2021TwocomponentBS,
  title={Two-component breather solution of the nonlinear Klein-Gordon equation},
  author={Guram T. Adamashvili},
  year={2021}
}
The generalized perturbative reduction method is used to find the two-component vector breather solution of the nonlinear Klein-Gordon equation. It is shown that the nonlinear pulse oscillates with the sum and difference of frequencies and wave numbers in the region of the carrier wave frequency and wave number. Explicit analytical expressions for the profile and parameters of the nonlinear pulse are obtained. In the particular case, the vector breather coincides with the vector 0π pulse of… Expand

References

SHOWING 1-10 OF 14 REFERENCES
On the solitons and nonlinear wave equations
The paper is focused on the solitons and nonlinear equations for an uniaxial deformation problem. The aim is to determine a parametrical representation for a class of constitutive laws forExpand
Optical resonance and two-level atoms
Topics covered include: classical theory of resonance optics; the optical Bloch equations; two-level atoms in steady fields; pulse propagation; pulse propagation experiments; saturation phenomena;Expand
Opt
Many graphics and vision problems can be expressed as non-linear least squares optimizations of objective functions over visual data, such as images and meshes. The mathematical descriptions of theseExpand
Results in Physics
  • 1, 26
  • 2011
The Eur
  • Phys. J. D 66, 101
  • 2012
Chin
  • Phys. B, 30, 020503
  • 2021
Tech
  • Phys. Lett. 47, 544
  • 2021
Phys
  • Lett. A 379, 218
  • 2015
Physica B
  • 407, 3413
  • 2012
Phys
  • Rev. A 75, 063808
  • 2007
...
1
2
...