Geodesic
Mathematical modeling of breathers of two-dimensional O(3) nonlinear sigma model
Matematičeskoe modelirovanie i čislennye metody (2016), pp. 3-16.

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The study examined the formation and evolution of stationary and moving breathers of a two-dimensional O(3) nonlinear sigma model. We detected analytical form of trial functions of two-dimensional sine-Gordon equations, which over time evolve into periodic (breather) solutions. According to the solutions found, by adding the rotation to an A3-field vector in isotopic space $S^2$ we obtained the solutions for the O(3) nonlinear sigma model. Furthermore, we conducted the numerical study of the solutions dynamics and showed their stability in a stationary and a moving state for quite a long time, although in the presence of a weak radiation.
Keywords: two-dimensional breather, nonlinear sigma model, averaged lagrangian, isotopic space, numerical simulation.
Mots-clés : sine-gordon equation 
@article{MMCM_2016_a0,
     author = {F. Sh. Shokirov},
     title = {Mathematical modeling of breathers of two-dimensional {O(3)} nonlinear sigma model},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {3--16},
     publisher = {mathdoc},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2016_a0/}
}
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F. Sh. Shokirov. Mathematical modeling of breathers of two-dimensional O(3) nonlinear sigma model. Matematičeskoe modelirovanie i čislennye metody (2016), pp. 3-16. http://geodesic.mathdoc.fr/item/MMCM_2016_a0/