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- Title
Influence of Transverse Perturbations on Breathers of the Sine-Gordon Equation.
- Authors
Nesterov, S. V.; Sazonov, S. V.
- Abstract
Based on a modification of the method of the average Lagrangian, the influence of transverse perturbations on the breather of the sine-Gordon equation is investigated using the procedure of double averaging over the phase and group canonical variables. It is demonstrated that the transverse perturbations on the eikonal stage promote self-focusing of breathers. A criterion for determining conditions of suppression of self-focusing effect by diffraction is obtained. The breathers containing an arbitrary number of phase oscillations are examined.
- Subjects
LAGRANGE equations; PERTURBATION theory; DYNAMICS; MATHEMATICAL physics; OPTICAL diffraction; OSCILLATIONS
- Publication
Russian Physics Journal, 2004, Vol 47, Issue 5, p517
- ISSN
1064-8887
- Publication type
Article
- DOI
10.1023/B:RUPJ.0000046325.14723.c3