537.611+530.146 Mathematical modeling of breathers of two-dimensional O(3) nonlinear sigma model

Shokirov F. S. (S.U. Umarov Physical-Technical Institute of Academy of Sciences of the Republic of Tajikistan)

TWO-DIMENSIONAL BREATHER, NONLINEAR SIGMA MODEL, SINE-GORDON EQUATION, AVERAGED LAGRANGIAN, ISOTOPIC SPACE, NUMERICAL SIMULATION.


doi: 10.18698/2309-3684-2016-4-316


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.


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Shokirov F. Mathematical modeling of breathers of two-dimensional O(3) nonlinear sigma model. Маthematical Modeling and Coтputational Methods, 2016, №4 (12), pp. 3-16



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